The Gamma 400 system was an inhabited star system. A planet in this system was home to Starbase 12, the Federation command base for its sector. (TOS: "Space Seed"; TNG: "Power Play")
Whether Starbase 12 and the Gamma 400 system were located in the Mutara sector has never been established in canon.
In 2267, this system was the original destination of the USS Enterprise when it took the SS Botany Bay in tow. It was then decided to transport the ship and its crew to Ceti Alpha V which was lying on the Enterprise's route to Gamma 400. (TOS: "Space Seed")
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