The triple α-decay chain 114Ba ⟶α110Xe ⟶α106Te ⟶α102Sn gives three new α-emitters 114Ba, 110Xe and 106Te. In order to explore the excited state α-decays, the dynamics of 58Ni(58Ni,2n) reaction forming 116Ba⁎ is studied at the beam energy ELab=210MeV. The half-lives of the nuclei formed in successive α-decay chain are calculated using Dynamical Cluster decay Model (DCM), an extension of the Preformed Cluster Model (PCM) with temperature T- and angular momentum ℓ-effects included. In addition to this, the α-decay half-lives of some trans-Sn Te, I, Xe, Cs and Ba isotopes, lying near the super-allowed region of α-decay, have been addressed in view of ground state α-radioactivity. The role of various proximity potentials having different isospin dependence is investigated in order to extract the useful information about the barrier characteristics in decay of trans-Sn region nuclei. The preformation probability distribution, which gives an account of potential energy surfaces, is analyzed for the relative comparison of spontaneous and induced α-emission processes.