Reference has 4 e's and that's all I can think of
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Cheeses, nemeses.
Words with two double Es is beekeeper (and variants), peewee, and teepee.
Some words with three Es and two Rs are:breedercreepierevergreenperimeterpretenderrefrigerateregenerateremembertelepromptertemperature
Some words that have double Es are:agreeamputeeapogeebansheebeebeechbeefbeenbeepbeerbeetbeetlebeseechbetweenbleedbooteebreechbreedbreezebungeecanteencareencareercheekcheepcheercheesecheetahchickadeecoffeecouleecreelcreepdecreedeeddeemdeepdeerdegreediscreetemceeengineerexceedfeefeeblefeedfeelfeetfianceefiligreefleefleecefleetfreefreezegeekgeesegenteelgleegoateegreedygreengreetheedheeljamboreejeepjeerjubileekeelkeenkeepkneeleeleechleekleerleveelicheemanateemarqueemeekmeetmeleeneeneedneedlenegligeeoverseeparakeetpedigreepeepeekpeelpeeppeerpeevepeeweepreemiepreemptpreenproceedprotegeepureequeenqueerreedreefreeferreekreelrefereerefugeerupeesateenscreescreechscreenseeseedseekseemseenseepseerseesawseethesheensheepsheersheetskeetsleeksleepsleetsleevesneersneezespeechspeedspleenspreesqueegeesqueezesteedsteelsteepsteeplesteersteeragestreetsucceedsweepsweetteeteemteenteethteethetepeetheethreetoffeetoupeetreetureentweedtweettweezerveejayveerveneerweeweedweekweenweepweevilwheewheedlewheelwheezeyippee
Moose is the word. Other words you can make from those letters are: em es me moo some