High-spin states of the odd-odd nucleus $^{168}\mathrm{Lu}$ were populated in $^{123}\mathrm{Sb}(^{48}\mathrm{Ca},3\mathrm{n})^{168}\mathrm{Lu}$ reaction at a beam energy 203 MeV and decay $\ensuremath{\gamma}$ rays measured using Gammasphere spectrometer array. The level scheme has been extended from spin 27 to 50 $\ensuremath{\hbar}$, three new rotational bands have added. A number interband ...