Let M be the four-dimensional compact manifold M = T-2 x S-2 and let k >= 2. We construct a C-infinity diffeomorphism F : M -> M with precisely k intermingled minimal attractors A(1),...,A(k). Moreover the union of the basins is a set of full Lebesgue measure. This means that Lebesgue almost every point in M lies in the basin of attraction of A(j) for some j, but every non-empty open set in M has a positive measure intersection with each basin. We also construct F : M -> M with a countable infinity of intermingled minimal attractors.