243 Ida is an S type asteroid that features its own little moon Dactyl, made famous by being studied by the Galileo probe in the 1990s. The Galileo revealed 243 Ida to be heavily cratered, far more than usual for an asteroid.
A 10 square mile claim would be enough for basic mining operations and local support structure. Hypothetical estimated value in 2021 USD $1 trillion. The number of available claims is limited to 180.
Image Credit: NASA / JPL-Caltech