Some four letter words that start with T are:
vent
iT'S THE LETTER T
Tattletaling
then
One word that fits your criteria is "distant." It starts with the letter 'd,' ends with 't,' and contains seven letters.
TourTintTiltTimeTameTankToneTuneTentTrueTrim
other
stabilization
atomitematopstabstagstarstemstepstewstaystirstopstunstubstudstewstow
then
bolt, colt, dolt, fort, goat, host, jolt, lout, moat, port, rout, soot, tout, volt, wont
Other Otter Ottar
Table ...
tuna, tora, tera (prefix that goes with "byte")
Team
There are a plethora of words that fit such a description, such as strong, staple, attack, and otitis [ear infection], just to name a few...
beet