  We generalize the embedding of induced-gravity inflation beyond the no-scale
Supergravity presented in arXiv:1403.5486 employing two gauge singlet chiral
superfields, a superpotential uniquely determined by applying a continuous R
and a discrete Zn symmetries, and a logarithmic Kahler potential including all
the allowed terms up to fourth order in powers of the various fields. We show
that, increasing slightly the prefactor (-3) encountered in the adopted Kahler
potential, an efficient enhancement of the resulting tensor-to-scalar ratio can
be achieved rendering the predictions of the model consistent with the recent
BICEP2 results, even with subplanckian excursions of the original inflaton
field. The remaining inflationary observables can become compatible with the
data by mildly tuning the coefficient involved in the fourth order term of the
Kahler potential which mixes the inflaton with the accompanying non-inflaton
field. The inflaton mass is predicted to be close to 10^14 GeV.
