The star trek universe has not made mention of the USS Enterprise (NCC-1701-F). The USS Enterprise (NCC-1701-E) is the latest version of the Enterprise. However in a time travelling episode of Star Trek: Enterprise, a 26th century ship named the USS Enterprise (NCC-1701-J) exists, so the NCC-1701-F will exist at some time in the future.
The Enterprise-F has been constructed on Star Trek Online. but the ship is constructed on 2545