A high-precision relativistic calculations of Cd-like Nd 12+ , Sm 14+ and Sn-like Pr 9+ , Nd 10+ atomic properties is carried out using an approach that combines configuration interaction and a linearized coupled-cluster method. These ions have long-lived metastable states with transitions accessible by laser excitations, relatively simple electronic structure, high sensitivity to α variation, and stable isotopes. Breit and QED corrections were included into the calculations. Energies, transition wavelengths, electric-and magnetic-multipole reduced matrix elements, lifetimes, and sensitivity coefficients q and K to the variation of the fine-structure constant α were obtained. A detailed study of uncertainties was performed. Energies for similar Cd-like Ba 8+ , La 9+ , Ce 10+ , Pr 11+ and Sn-like Ba 6+ ions were calculated and compared with experiment for further tests of the accuracy.