  One possible interpretation of two narrow $\Omega^0_c$ states reported by the
LHCb Collaboration at CERN in 2017 is that they are pentaquarks belonging to a
$\overline{\boldsymbol{15}}$ exotic SU(3) representation, as predicted by the
Chiral Quark--Soliton Model. If so, there must exist a number of other exotic
states since the model predicts three different $\overline{\boldsymbol{15}}$
multiplets of heavy baryons. We show, that depending on the soliton spin $J$,
these states are either very narrow or very broad. This explains why they might
have escaped experimental observation. Furthermore, we show that the lightest
members of these multiplets are stable against two body strong decays.
