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Background: An increasing interest in multinucleon transfer processes in low-energy deep inelastic (damped) collisions of heavy ions appeared in recent years is due, in part, to by the possibility of using them as a method of production of heavy neutron-enriched nuclei. Possible promising projectile-target combinations include nuclei deformed in the ground state (e.g., actinides). Mutual orientations of such the nuclei in the entrance channel of the reaction may significantly influence the reaction dynamics.Purpose: A major aim of the work is to implement a possibility of modeling collisions of statically deformed heavy nuclei within a multidimensional dynamical model based on the Langevin equations. Another purpose of the paper is to study the influence of mutual orientation of statically deformed nuclei on their collision dynamics. Finally, the production yields of heavy transuranium nuclei in collisions of actinides are examined.Method: The analysis has been performed within multidimensional dynamical model of nucleus-nucleus collisions based on the Langevin equations [Phys. Rev. C 96 024618 (2017)]. In the present paper the model has been improved to describe collisions of statically deformed heavy nuclei with different mutual orientations.Results: Available experimental data on multinucleon transfer reactions with statically deformed as well as spherical heavy nuclei 144 Sm + 144 Sm, 154 Sm + 154 Sm, 160 Gd + 186 W, and 208 Pb + 208 Pb/ 238 U have been analyzed within the developed model. A good agreement of the calculated quantities with the corresponding experimental data is reached. Special attention in the paper is paid to analysis of production possibility of the neutron-enriched isotopes of heavy and superheavy elements in multinucleon transfer processes in the 238 U + 238 U/ 248 Cm/ 254 Es collisions. Conclusions:The mutual orientation of colliding statically deformed nuclei in the entrance channel strongly affects the energy, angular, mass, and charge characteristics of multinucleon transfer reaction products at nearbarrier energies. These orientational effects disappear with increasing collision energy well above the Coulomb barrier. The exponential drop of the isotopic distributions of above-target products formed in the collisions of actinides with increasing atomic number does not allow one to synthesize new isotopes of superheavy nuclei with experimentally reachable cross sections. However, there is a possibility of production of a number of neutronenriched isotopes of heavy actinides with the cross sections exceeding 1 µb.