Cluster decays of rare-earth nuclei are studied with a view to look for neutron magic shells for the 50 Sn nucleus as the daughter product always. The 100 Sn and 132 Sn radioactivities are studied to find the most probable cluster decays and the possibility, if any, of new neutron shells. For a wide range of parent nuclei considered here (from Ba to Pt) 12 C from 112 Ba and 78 Ni from 210 Pt parent are predicted to be the most probable clusters (minimum decay half-life) referring to 100 Sn and 132 Sn daughters, respectively. Also, 22 Mg decay of 122 Sm is indicated at the second best possibilty for 100 Sn-daughter decay. In addition to these well known magic shells (Z=50, N=50 and 82), a new magic shell at Z=50, N=66 ( 116 Sn daughter) is indicated for the 64 Ni decay from 180 Pt parent.