古期 is read as こき (koki) and means old.
こき
koki
こきぞうざんたい
old orogenic belt
みやこたんきだいがく
Miyako Junior College
こまい
old rice
こと
ancient city
こさん
seniority
こしき
old style
ころう
old person (knowledgeable about events of the distant past)
ふるほんいち
secondhand book fair
こだいまい
ancient rice varieties
こしょいち
こじき
Kojiki (earliest historical record of Japan, compiled in 712 CE)
こせんじょう
ancient battlefield