16 Psyche is one of the largest asteroids in the main belt and the largest M type, metallic asteroid. As such its value is unquestioned, though it remains to be seen what degree of rare earth element composition it has. Speculated to be a fragment of the core of a planet, as we know precious heavy metals on planets make their way to the core of a planet, so there is promise here of potentially far more than iron and nickel. The additional recent discovery of organics on the surface of the asteroid make 16 Psyche a prime target.
A 10 square mile claim would be enough for basic mining operations and local support structure. Hypothetical estimated value in 2018 USD $1 trillion. The number of available claims is limited to 6,190.
Image Credit: NASA / JPL-Caltech