Achrady VII was the inhabited seventh planet in its star system. This planet was located somewhere in the Alpha or Beta Quadrant.
In 2366, when Counselor Deanna Troi tried to convince Captain Jean-Luc Picard to take a vacation, she claimed her mother, returning from a conference on Achrady VII, was making a stop at Starbase 12 to await the USS Enterprise there. (TNG: "Captain's Holiday")
This planet was only mentioned in dialogue.