We have measured low-temperature photoluminescence spectra of cubic Zn0.98M
n0.02Te in high magnetic fields up to 14 T and at hydrostatic pressures up
to 3 cpa. From the variation with pressure of the Zeeman shift of the excit
onic recombination at the fundamental band gap we determine the volume depe
ndence of the hole-ion exchange interaction and the effective superexchange
temperature parameter of the magnetic ions. We find a strikingly large inc
rease of both parameters with pressure, which can be explained by assuming
a larger local compressibility near Mn ions compared to the bulk elastic pr
operties of the ZnTe host lattice.