In 2256, this starbase's location was labeled on the star chart "Alpha/Beta Quadrant Overview" in the ready room aboard the USS Discovery. It was located near to the Federation-Klingon border. (DIS: "Magic to Make the Sanest Man Go Mad")
In 2293, the starships USS Constellation and USS John Muir were at this station. The Constellation was there for certification tests and the John Muir was there for a system upgrade. The starbase was named on a Starship Mission Assignments chart on the USS Enterprise-A bridge.
Later that year, in the "Operation Retrieve" command briefing, Starbase 24 was depicted as being in the theater of operations. It was located near to the Federation-Klingon border. (Star Trek VI: The Undiscovered Country)
In 2346, the USS Intrepid transported Worf's nurse maid, Kahlest, to Starbase 24 where she could be treated for her injuries at the base's biomedical facility. The starbase, due to its proximity to Khitomer, had the best records of the Khitomer Massacre in 2366. (TNG: "Sins of the Father", "Redemption")
Kahlest's medical file seen in "Sins of the Father" stated she was transported to Starbase 23 and not Starbase 24, as was stated in the dialogue.
Starbase 24 was mentioned in numerous novels, including the Star Trek: Destiny series. Taking place in 2409, the computer game Star Trek Online depicts the base as being located in the Orion sector and badly damaged after a Klingon attack.