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We report synthesis, crystal structure and physical properties of a novelquinary compound RbGd$_2$Fe$_4$As$_4$O$_2$. The new iron oxyarsenide isisostructural to the fluo-arsenide KCa$_2$Fe$_4$As$_4$F$_2$, both of whichcontain separate double Fe$_2$As$_2$ layers that are self hole-doped in thestoichiometric composition. Bulk superconductivity at $T_\mathrm{c}$ = 35 K isdemonstrated by the measurements of electrical resistivity, dc magneticsusceptibility and heat capacity. An exceptionally high value of the initialslope of the upper critical field($\mu_0$d$H_{\mathrm{c2}}$/d$T|_{T_\mathrm{c}}$ = 16.5 T/K) is measured for thepolycrystalline sample.

Superconductivity at 35 K by self doping in RbGd$_2$Fe$_4$As$_4$O$_2$