Abstract
We study stability of superdeformed oblate (SDO) superheavy $Z\ensuremath{\geqslant}120$ nuclei predicted by systematic microscopic-macroscopic calculations in 12D deformation space and confirmed by the Hartree-Fock calculations with the SLy6 force. We include into consideration high-$K$ isomers that very likely form at the SDO shape. Although half-lives ${T}_{1/2}\ensuremath{\lesssim}{10}^{\ensuremath{-}5}$ s are calculated or estimated for even-even spin-zero systems, decay hindrances known for high-$K$ isomers suggest that some SDO superheavy nuclei may be detectable by the present experimental technique.
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