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.