The Zodiac-class was mentioned in Q's anti-time future, as to whether it exist or not is unknown.
However, if it does exist it would of been designed in the late 2350's.
USS Yorktown NCC-61137
In Q's anti-time future the Yorktown was ordered by Admiral William Riker to make a long-range
sensor sweep of the Devron system. "All Good Things…" -TNG.
