Here are 5-letter words that meet the criteria.
acted, actin, actor, after, aitch, altar, alter, altho, altos, antae, antas, anted, antes, antic, antis, antra, antre, antsy, apter, aptly, artal, artel, artsy, aster, astir, attar, attic, autos, batch, bated, bates, bathe, baths, batik, baton, batts, battu, batty, betas, betel, beths, beton, betta, bitch, biter, bites, bitsy, bitts, bitty, botas, botch, botel, bothy, botts, butch, buteo, butes, butle, butte, butts, butty, butut, butyl, bytes, catch, cater, cates, catty, cetes, cited, citer, cites, cotan, coted, cotes, cotta, cutch, cuter, cutes, cutey, cutie, cutin, cutis, cutty, cutup, cyton, dated, dater, dates, datos, datto, datum, deter, detox, ditas, ditch, dites, ditsy, ditto, ditty, ditzy, dotal, doted, doter, dotes, dotty, dutch, eaten, eater, enter, entia, entry, ester, estop, extol, extra, fatal, fated, fates, fatly, fatty, fetal, fetas, fetch, feted, fetes, fetid, fetor, fetus, fitch, fitly, futon, fytte, gated, gater, gates, gator, getas, getup, gites, goths, gutsy, gutta, gutty, hatch, hated, hater, hates, heths, hitch, hotch, hotel, hotly, hutch, ictic, ictus, inter, intis, intro, iotas, istle, ixtle, jatos, jetes, jeton, jetty, jotas, jotty, jutes, jutty, ketch, ketol, kited, kiter, kites, kithe, kiths, kitty, kotos, kotow, kytes, kythe, latch, lated, laten, later, latex, lathe, lathi, laths, lathy, latke, letch, lethe, letup, litai, litas, liter, lithe, litho, litre, lotah, lotas, lotic, lotos, lotto, lotus, lutea, luted, lutes, lytic, lytta, match, mated, mater, mates, matey, maths, matin, matte, matts, matza, matzo, metal, meted, meter, metes, meths, metis, metol, metre, metro, miter, mites, mitis, mitre, mitts, motel, motes, motet, motey, moths, mothy, motif, motor, motte, motto, motts, mutch, muted, muter, mutes, muton, mutts, myths, natal, natch, nates, natty, netop, netts, netty, niter, nitid, niton, nitre, nitro, nitty, notal, notch, noted, noter, notes, notum, nutsy, nutty, oaten, oater, oaths, octad, octal, octan, octet, octyl, often, ofter, ontic, ootid, opted, optic, ortho, ostia, ottar, otter, ottos, outby, outdo, outed, outer, outgo, outre, oxter, patch, pated, paten, pater, pates, paths, patin, patio, patly, patsy, patty, petal, peter, petit, petti, petto, petty, pitas, pitch, piths, pithy, piton, pitta, potsy, potto, potty, puton, putti, putto, putts, putty, ratal, ratan, ratch, rated, ratel, rater, rates, rathe, ratio, ratos, ratty, retag, retax, retch, retem, retia, retie, retro, retry, rites, ritzy, rotas, rotch, rotes, rotls, rotor, rotos, rotte, ruths, rutin, rutty, satay, sated, satem, sates, satin, satis, satyr, setae, setal, seton, setts, setup, shtik, sitar, sited, sites, situp, situs, soths, sotol, sutra, sutta, tatar, tater, tates, tatty, teths, tetra, tetri, titan, titer, tithe, titis, title, titre, titty, total, toted, totem, toter, totes, tutee, tutor, tutti, tutty, tutus, tythe, ultra, untie, until, utter, vatic, vatus, vetch, vitae, vital, vitta, voted, voter, votes, watap, watch, water, watts, wetly, witan, witch, wited, wites, withe, withy, witty, wyted, wytes, yetis, yetts, zetas, zitis
atebatchbrittlecastingcatchcaterclutterdetereatenenterentryfastestfastingflatterflutterglitterhitchlastinglatchlitermatchmetermotornotchpastingpartingpatchprattleshattershortnesssuitorstightnesstreetopswastingwaterwatchwitch
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern CE-T-R. That is, six letter words with 1st letter C and 2nd letter E and 4th letter T and 6th letter R. In alphabetical order, they are: center
Six letter words starting with the letter "T"ThreatThreadTinkerTimingTakingTeamedToppedTriple
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern -T-T----T. That is, nine letter words with 2nd letter T and 4th letter T and 9th letter T. In alphabetical order, they are: statement statocyst
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern -T--T-T-. That is, eight letter words with 2nd letter T and 5th letter T and 7th letter T. In alphabetical order, they are: steatite
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern T-I-T-T-. That is, eight letter words with 1st letter T and 3rd letter I and 5th letter T and 7th letter T. In alphabetical order, they are: triptote tristate
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern T-T-IT-. That is, seven letter words with 1st letter T and 3rd letter T and 5th letter I and 6th letter T. In alphabetical order, they are: titbits
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern T---AT--T. That is, nine letter words with 1st letter T and 5th letter A and 6th letter T and 9th letter T. In alphabetical order, they are: thanatist
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 3 words with the pattern -T-T--T--. That is, nine letter words with 2nd letter T and 4th letter T and 7th letter T. In alphabetical order, they are: etatistes statistic statuette
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 4 words with the pattern T----T-T-. That is, nine letter words with 1st letter T and 6th letter T and 8th letter T. In alphabetical order, they are: tallitoth troostite tungstate tungstite
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern T-T--R--T. That is, nine letter words with 1st letter T and 3rd letter T and 6th letter R and 9th letter T. In alphabetical order, they are: tutiorist
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern -T-T-T-S. That is, eight letter words with 2nd letter T and 4th letter T and 6th letter T and 8th letter S. In alphabetical order, they are: statutes