Abietene is an oil distilled from the resin of the nut pine tree.
There are 788 in Webster's Second International. Here's a small sample: grep -xE '([^e]*e){3}[^e]*' /usr/share/dict/words |grep ^........$ abeltree Aberdeen abietene absentee Acemetae acheweed aesthete aethered affeerer aftereye agueweed aiseweed Alberene antecede appellee arrestee assessee axletree ayegreen Baedeker bargeese beanweed beaupere beavered bebelted bebreech bedeafen beebread beefhead beefless beehouse beetrave beferned befetter befezzed begetter begrease beheader behearse
There are 6,571 words like that in Webster's Second International. Here are the first 100: abalienate abalienation Abbie Abdiel abeigh Abie Abies abietate abietene abietic abietin Abietineae abietineous abietinic Abiezer abortient abortifacient absenteeism absorbefacient abthainrie Acadie Acanthodei accidie accipient accompanier acetifier acetothienone acetylenediurein acetyltropeine acheilia acheilous acheiria acheirous acheirus achievable achieve achievement achiever Achilleid achilleine Achromobacterieae acidifier acier acierage Acieral acierate acieration Acipenseroidei acleidian acleistous Acmaeidae acneiform acquiesce acquiescement acquiescence acquiescency acquiescent acquiescently acquiescer acquiescingly acraein Acraeinae Acrasieae acrolein acropoleis actifier actinodielectric acturience aculeiform adagietto Addie Adeleidae Adiel adieu adieux Adigei adoulie Adrienne advenience advenient aeolsklavier aerie aeried affeir affreight affreighter affreightment afield afterfriend aftergrief afterpiece Aggie aggrievance aggrieve aggrieved aggrievedly aggrievedness aggrievement Agiel agonied
abampere abatable abderite abdicate abditive aberdare aberrate abeyance abidance abietene abietine abietite abjugate ablative ablegate abligate abnegate abnodate abodance aborsive abortive abrasive abrocome abrogate absentee absinthe absolute absterge absterse abstrude abstruse abusable acaridae acaryote acaudate acauline acaulose accolade accouple accoutre accresce accurate accusive acerbate acervate acervose acetable aciculae acierage acinetae acreable acritude acrosome acrylate actiniae actinide activase activate aculeate adamance adaptive additive Adelaide adequate adhesive adjugate adjutage adolesce adoptive adorable adrogate advocate aerolite aesthete afebrile affiance aftereye agamidae aggerate aggerose aggrieve agiotage agitable agminate agonidae ahwahnee aigrette aiguille aikinite air-line airborne airbrake airdrome airedale airforce corocore coronate coronule cort'ege corvette corvidae cosenage cosinage cossette costlewe cottidae coulisse coupable couveuse covedale coverage covercle covetise cowardie cowhouse cowquake coyville cozenage crabwise cracidae craniate crannoge crapette creasote creatine creative creature credence credible crenelle creosote crepance crescive crestone cretonne crevalle crevasse cribbage cribrate cribrose crimpage crispate cristate critique crocoite croisade cromorne crosstie croupade cruciate crucible crudware crustose cryolite cubature cubelike cubilose culerage cullible culpable cultrate culytine cumarone cumidine cumulate cumulose cup-rose cupulate curarine curarize curative curbside curlicue curlycue curricle cut-rate cutinize cutpurse cuttable cymidine cymogene cynanche cynosure cypriote cysteine cytokine cytosine d'egag'e dacninae daguerre damass'e damnable danaidae danalite dandyise