Nuclear symmetry energy probed by neutron skin thickness of nuclei X.Viņas, M. Centelles, X. Roca-Maza and M. Warda We describe a relation between the symmetry energy coefficients of finite nuclei and c_sym(rho) of nuclear matter that accomodates other correlations of structure observables with the low-density behavior of c_sym(rho). Here we apply it to explore the prospects of systematic measurements of neutron skin sizes across the mass table for constraining c_sym(rho), using present data from antiprotonic atoms. The results from skins are in accord with the recent constraints from reactions and giant resonances, though lie on the edge of a softer symmetry energy.