  The interlayer exchange coupling mediated by the valence band electrons in
$\textrm{(MnTe)}_{\textrm{m}} \textrm{(ZnTe)}_{\textrm{n}}$ superlattices has
been examined theoretically. The calculations have been performed within the
framework of three dimensional tight binding model. Both types of magnetic
configurations in the superlattice, resulting from zinc-blende MnTe real
magnetic structure, have been considered. The total energy calculations have
revealed much faster decrease of the coupling strength with nonmagnetic spacer
thickness than that observed in NaCl structures. In addition a new feature --
nonmonotonic character of that decrease -- has been found.
