Excitation energies and transition probabilities for the 1s 2 2s 2 2p 6 3s 2 3p 6 3d 10 , and the 1s 2 2s 2 2p 6 3s 2 3p 6 3d 9 4l (l= s, p, d, and f) configurations in nickel-like tin have been used to calculate the reduced population of 99 fine structure levels over a wide range of electron densities and at different electron plasma temperatures. The gain coefficients for those transitions with positive population inversion factors have been calculated as a function of electron density. This study is concerned with the transitions which produce positive gain at XUV and X-ray spectral regions.