  We prove that the boundary of an almost minimizer of the intrinsic perimeter
in a plentiful group can be approximated by intrinsic Lipschitz graphs.
Plentiful groups are Carnot groups of step~$2$ whose center of the Lie algebra
is generated by any co-dimension one horizontal subspace. For example, $H$-type
groups not isomorphic to the first Heisenberg group are plentiful. Our results
provide the first extension of the regularity theory of intrinsic minimal
surfaces beyond the family of Heisenberg groups.
