  In this work we investigate the possibility of the formation of states from
the dynamics involved in the $D^*D^*D^*$ system by considering that two $D^*$'s
generate a $J^P=1^+$ bound state, with isospin 0, which has been predicted in
an earlier theoretical work. We solve the Faddeev equations for this system
within the fixed center approximation and find the existence of $J^P=0^-$,
$1^-$ and $2^-$ states with charm $3$, isospin $1/2$, masses $\sim 6000$ MeV,
which are manifestly exotic hadrons, i.e., with a multiquark inner structure.
