  We predict a new class of topological crystalline insulators (TCI) in the
anti-perovskite material family with the chemical formula A$_3$BX. Here the
nontrivial topology arises from band inversion between two $J=3/2$ quartets,
which is described by a generalized Dirac equation for a "Dirac octet". Our
work suggests that anti-perovskites are a promising new venue for exploring the
cooperative interplay between band topology, crystal symmetry and electron
correlation.
