  We consider a model belonging to the class of gravities with dynamical
torsion. The model is free of ghosts and gradient instabilities about Minkowski
and torsionless Einstein backgrounds. We find that at zero cosmological
constant, the model admits a self-accelerating solution with non-Riemannian
connection. Small value of the effective cosmological constant is obtained at
the expense of the hierarchy between the dimensionless couplings.
