  We investigate the production of charm-baryon hypernucleus
$^{16}_{\Lambda_c^+}$O in the antiproton - $^{16}$O collisions within a fully
covariant model that is based on an effective Lagrangian approach. The explicit
${\bar \Lambda}_c^ - \Lambda_c^+$ production vertex is described by the
$t$-channel $D^0$ and $D^{*0}$ meson-exchanges in the initial collision of the
incident antiproton with one of the protons of the target nucleus. The
$\Lambda_c^+$ bound state spinors as well as the self-energies of the exchanged
mesons employed in our calculations are derived from the quark-meson coupling
model. The parameters of various vertices are taken to be the same as those
used in our previous study of the elementary ${\bar p} + p \to {\bar
\Lambda}_c^- + \Lambda_c^+$ reaction. We find that for antiproton beam momenta
of interest to the ${\bar P}ANDA$ experiment, the 0$^\circ$ differential cross
sections for the formation of $^{16}_{\Lambda_c^+}$O hypernuclear states with
simple particle-hole configurations, have magnitudes in the range of a few
$\mu$b/sr.
