  Highly charged ions of heavy actinides from uranium to einsteinium are
studied theoretically to find optical transitions sensitive to the variation of
the fine structure constant. A number of promising transitions have been found
in ions with ionisation degree $\sim$~10. All these transitions correspond in
single-electron approximation to the $6p$ - $5f$ transitions. Many of the
transitions are between ground and excited metastable states of the ions which
means that they can probably be used as optical clock transitions. Some of the
ions have more than one clock transition with different sensitivity to the
variation of the fine structure constant $\alpha$. The most promising systems
include the Np$^{10+}$, Np$^{9+}$, Pu$^{11+}$, Pu$^{10+}$, Pu$^{9+}$,
Pu$^{8+}$, Bk$^{15+}$, Cm$^{12+}$, and Es$^{15+}$ ions.
