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A novel concept of a superconducting, multipole corrector magnet is presented. This magnet is assembled from 12 identical racetrack-type coils powered by separate power supplies, and can generate any combination of dipole, quadrupole, and sextupole magnetic fields. In the case of normal dipole, quadrupole, and sextupole fields the total field is symmetrical relative to the magnet median plane and there are only five, powered separately coil groups. The new type of multipole corrector magnet, which has been proposed for BTeV project at Fermilab has the following advantages: universal configuration, simple manufacture, and a high mechanical stability. The results of the magnetic design, including the field quality and magnetic forces in comparison with known shell-type superconducting correctors, are presented.