  We identify two metastable excited states in Sm$ ^{10+} $ highly charged ion
as candidates for high accuracy optical clocks. Several atomic properties
relevant to optical clock development are calculated using relativistic
many-body methods. This includes energy levels, transition amplitudes,
lifetimes, scalar polarizabilities, black body radiation shift, and the
sensitivity to the fine structure constant variation. We found that the clock
transitions are not sensitive to perturbation, e.g., relative black body
radiation shifts are $\sim 10^{-19}$. The enhancement factor for the $\alpha$
variation is $\sim$ 0.8 for one clock transition and $\sim$ 16 for another.
