[en] A system of two lithium lenses with axially symmetric fields and a symmetric triplet of quadrupole lenses with the 250 m optimum length of the focusing channel is considered to obtain pure neutrino and antineutrino beams at superhigh energies. The calculated characteristics of the lithium lenses of the 20 and 18 cm length with the 500 and 630 kA current, respectively, with 1.4 and 2.8 cm in radius, the maximum surface field of 70 and 45 kOe are presented. It is shown that such system provides neutrino (antineutrino) flux increase through the detector of the 1 m radius approximately 2.5 times and permits to decrease the integral flux of the background particles in the neutrino beam up to 2-3%, and in the antineutrino beam up to 10%