USS Honsho
From Star Trek: Theurgy Wiki
The USS Honshu (NCC-27222) was a 24th century Federation starship operated by Starfleet.
Nator 159’s cadet cruise was aboard the Honshu in 2366.
(So far it has not been revealed what class the USS Honshu was but it's relatively early registry number indicates that it was built in the early 24th century and is likely a Centaur, Constellation, Excelsior, Miranda, or Oberth class)