  We consider $C^r$ ($r\geqslant 1$) diffeomorphisms $f$ defined on manifolds
of dimension $\geqslant 3$ with homoclinic tangencies associated to saddles.
Under generic properties, we show that if the saddle is homoclinically related
to a blender then the diffeomorphism $f$ can be {$C^r$} approximated by
diffeomorphisms with {$C^1$} robust heterodimensional cycles. As an
application, we show that the classic Simon-Asaoka's examples of
diffeomorphisms with $C^1$ robust homoclinic tangencies also display {$C^1$}
robust heterodimensional cycles. In a second application, we consider
homoclinic tangencies associated to hyperbolic sets. When the entropy of these
sets is large enough we obtain $C^1$ robust cycles after $C^1$ perturbations.
