Starbase 153 was the Federation facility from which special Federation Emissary K’Ehleyr was launched, inside of a modified class-8 probe, for a critical rendezvous with the USS Enterprise (NCC-1701-D) in 2365. (TNG "The Emissary")
In 2374, Starbase 153 appeared on a casualties list on Deep Space 9, listing the loss of multiple crew members during the Dominion War. (DS9 "In the Pale Moonlight")