  A viable model of large-field (chaotic) inflation with efficient production
of primordial black holes is proposed in Starobinsky-like (modified)
supergravity leading to the "no-scale-type" K\"ahler potential and the
Wess-Zumino-type ("renormalizable") superpotential. The cosmological tilts are
in good (within $1\sigma$) agreement with Planck measurements of the cosmic
microwave background radiation. In addition, the power spectrum of scalar
perturbations has a large peak at smaller scales, which leads to a production
of primordial black holes from gravitational collapse of large perturbations
with the masses about $10^{17}$ g. The masses are beyond the Hawking (black
hole) evaporation limit of $10^{15}$ g, so that those primordial black holes
may be viewed as viable candidates for part or the whole of the current dark
matter. The parameters of the superpotential were fine-tuned for those
purposes, while the cubic term in the superpotential is essential whereas the
quadratic term should vanish. The vacuum after inflation (relevant to
reheating) is Minkowskian. The energy density fraction of the gravitational
waves induced by the production of primordial black holes and their frequency
were also calculated in the second order with respect to perturbations.
