The gamma-ray and internal conversion electron spectra of the Sn-116(p,n-gamma)Sb-116 reaction have been measured at E(p) = 6.3, 6.7, and 7.2 MeV bombarding energies with Ge(HP), Ge(HP,LEPS) gamma and superconducting magnetic lens plus Si(Li) electron spectrometers. The energies and relative intensities of 90 Sb-116 gamma-rays, as well as internal conversion coefficients of 21 Sb-116 transitions have been determined. Angular distribution data have been obtained for 37-gamma rays. A more complete level scheme of Sb-116 has been deduced, which contains 38 levels below 1500 keV excitation energy. Multipolarities of transitions and gamma-ray branching ratios have been deduced. Calculated Hauser-Feshbach (p,n) cross sections have been compared with experimental values. Level spins and parities have been determined on the basis of the Hauser-Feshbach analysis, internal conversion coefficients, and gamma-ray angular distribution data. The energies of several Sb-116 proton-neutron multiplets have been calculated using the parabolic rule. Members of different multiplets have been identified.