Ru-doped FeTe systems are investigated by density-functional theory methods. Structural and electronic properties of Fe0.75Ru0.25Te and parent FeTe are studied. The double-stripe antiferromagnetic ground state is predicted for both systems. The single-stripe antiferromagnetic phase may be induced by tensile strain. Tensile strained Fe0.75Ru0.25Te is a candidate for a new Fe-based superconductor.