Deep Space Starbase K-11 was a Federation space station in operation in the mid-23rd century. (ST reference: Star Trek Maps) In the Kelvin timeline, it was a Federation K-class starbase in Starfleet service in the 2260s decade. (TOS - The Khitomer Conflict comic: "Part 1")
History and specifics[]
Station K-11 was located in treaty boundary quadrant 3 South in the general vicinity of the stars Beta Niobe, Delta Theta, and Szell 342K, as well as the Dyson sphere-like Chatalia. (ST reference: Star Trek Maps)
In the year 2261 of the Kelvin timeline, on stardate 2261.147, Captain James T. Kirk took the USS Enterprise to Deep Space K-11, to give his crew a chance to contact their families before starting their five-year mission of exploration. Before leaving, Kirk brought aboard Hikaru Sulu's sister, Yuki, who was transferring from the USS Armstrong at that time. (TOS - The Khitomer Conflict comic: "Part 1")