gatem agtem gtaem tgaem atgem tagem gaetm agetm geatm egatm aegtm eagtm gteam tgeam getam egtam tegam etgam ategm taegm aetgm eatgm teagm etagm gatme agtme gtame tgame atgme tagme gamte agmte gmate mgate amgte magte gtmae tgmae gmtae mgtae tmgae mtgae atmge tamge amtge matge tmage mtage gaemt agemt geamt egamt aegmt eagmt gamet agmet gmaet mgaet amget maget gemat egmat gmeat mgeat emgat megat aemgt eamgt amegt maegt emagt meagt gtema tgema getma egtma tegma etgma gtmea tgmea gmtea mgtea tmgea mtgea gemta egmta gmeta mgeta emgta megta temga etmga tmega mtega emtga metga atemg taemg aetmg eatmg teamg etamg atmeg tameg amteg mateg tmaeg mtaeg aemtg eamtg ametg maetg ematg meatg temag etmag tmeag mteag emtag metag
Note: these 'words' (valid or invalid) are all the permutations of the word gatem. These words are obtained by scrambling the letters in gatem.