  We perform detailed calculations of the electronic structure of the
Os$^{16+}$ ion and demonstrate that it has several metastable states which can
be used for very accurate optical clocks. The clocks are highly sensitive to
manifestations of the physics beyond standard model, such as time variation of
the fine structure constant $\alpha$, interaction with scalar and pseudoscalar
(axion) dark matter fields, local Lorentz invariance and local position
invariance violations, and interaction of atomic electrons with nucleus
mediated by new boson. The latter can be studied by analysing King plot for
isotope shifts and its possible non-linearities since Os has 5 stable isotopes
with zero nuclear spin.
  Similar calculations for the Ir$^{17+}$ ion spectra demonstrate very good
agreement between theory and experiment. This helps to validate the method of
the calculations and demonstrate that both ions are excellent candidates for
the search of new physics.
