  In this paper, we discuss the vacuum structure of QCD with two flavors of
Wilson fermions, inside the Aoki phase. We provide numerical evidence, coming
from HMC simulations in $4^4$, $6^4$ and $8^4$ lattices, supporting a vacuum
structure for this model at strong coupling more complex than the one assumed
in the standard wisdom, with new vacua where the expectation value of
$i\bar\psi\gamma_5\psi$ can take non-zero values, and which can not be
connected with the Aoki vacua by parity-flavour symmetry transformations.
