  Recent observation of the 6$^+$ seniority isomers and measurements of the
B${(E2)}$ values in the $^{134-138}$Sn isotopes lying close to the neutron drip
line have raised some questions about the validity of the currently used
effective interactions in the neutron-rich region. Simpson $\it{et}$ $\it{al.}$
[Phys. Rev. Lett. $\textbf{113}$, 132502 (2014)] had to modify the diagonal and
non-diagonal ${\nu}f_{7/2}^2$ two body matrix elements of the "${Vlk}$"
interaction by ${\sim150}$ keV in their shell model calculations in order to
explain the data of $^{136}$Sn. In contrast, we are able to explain the
observed energy levels and the B${(E2)}$ values after marginal reduction of the
same set of matrix elements by ${25}$ keV in the "RCDB" (Renormalized CD-Bonn)
interaction. The observed mismatch in reproducing the data of $^{136}$Sn is due
to the seniority mixing. Further, we do not find it necessary to consider the
core excitations, and the "RCDB" interaction seems better suited to explain the
data beyond N$=82$ magic number.
