  We construct a supergravity background corresponding to a backreacted
D0/D4-brane system. The background is holographically dual to the Venecianno
limit of the Berkoos-Douglas matrix model. It is known that the localized D0/D4
system is unstable when the D0-branes are within the D4-branes. To circumvent
this difficulty we separate the D4s from the D0s, which are placed at the
origin, and restore the symmetry of the combined system by distributing the
D4-branes on a spherical shell around the D0-branes. The backreacted solution
is first obtained perturbatively in N_f/N_c and displayed analytically to 1st
order. A non-perturbative numerical solution is then presented.
