coenobium
(Greek: koinos, common; bios, life)
A community of monks, or cenobites, living in the same house under one authority; a monastery; convent; religious community.
Their origin is ascribed to Anthony, the anchorite, of the 3rd century, and with a greater degree of probability to Pachomius of Tabenna, of the 4th century.
The earliest were very probably for women.
An ancient Irish coenobium was originally a sept, or family, whose chief had become its religious head or had relinquished the headship to a comarba (Gaelic: comharba, successor, vicar, abbot).
The word Coenobium is sometimes used for the basilica or church of the monastery.
New Catholic Dictionary