USS Biddeford
USS Biddeford (NCC-0718) was a Federation  starship operated by Starfleet in the mid-23rd century. 

In 2259, the ship was assigned to berth A4 of  when the  departed for its mission to Qo'noS. ()

Appendices

Background information 
The name on the ship was somewhat illegible in the Blu-ray rendering, but was seen slightly more clearly on the high resolution rendering of the CGI model for the cover of Cinefex issue 134.
  
According to Joseph Gatt (who played Lieutenant 0718), the number 0718 had significance for J.J. Abrams. 

In a deleted scene from Star Trek Into Darkness, the name and registry was also on a model Federation starship that was hung from the office ceiling of Admiral . The ship had a prime universe  heavy cruiser configuration. The deleted scene first appeared in a release of Into Darkness for the Xbox SmartGlass app, before being included in the Star Trek: The Compendium Blu-ray Disc set.

External link 
 

bg:NCC-0718
Biddeford, USS