  We suggest that a family of Ni-based compounds, which contain
[Ni$_2$M$_2$O]$^{2-}$(M=chalcogen) layers with an antiperovskite structure
constructed by mixed-anion Ni complexes, NiM$_4$O$_2$, can be potential high
temperature superconductors upon doping or applying pressure. The layer
structures have been formed in many other transitional metal compounds such as
La$_2$B$_2$Se$_2$O$_3$(B=Mn, Fe,Co). For the Ni-based compounds, we predict
that the parental compounds host collinear antiferromagnetic states similar to
those in the iron-based high temperature superconductors. The electronic
physics near Fermi energy is controlled by two e$_{g}$ d-orbitals with
completely independent in-plane kinematics. We predict that the
superconductivity in this family is characterized by strong competition between
extended s-wave and d-wave pairing symmetries.
