  We investigate the space of BPS states in type IIA string theory on a T$^6$
wrapped by one D6 brane and three D2 branes wrapping three disjoint 2-tori.
This system of branes has 12 ground states. We show that these 12 states are
all recovered as Coulomb branch BPS multicenter bound states, in which each
center preserves 16 supercharges. Moreover, we show that these multicenter
solutions can only exist with zero angular momentum, supporting the conjecture
that all black hole microstates have zero angular momentum. For large charges,
they might describe "near-horizon limit" of fuzzballs.
