An out-vacuum wiggler, W164, was designed, built and installed on the SOLEIL storage ring with the double objective to produce high energy photons for the PUMA beamline (10 keV to 70 keV) and to be used as a modulator for the FEMTOSLICING project. The insertion device requires simultaneously reaching high critical energy of photons (above 10 keV) and low resonant energy (1.55 eV). The wiggler is composed of 20 periods of 164.4 mm made of NdFeB magnets and Vanadium Permendur poles. The maximum total field reaches 1.85 T at the minimum gap and 1.66 T at the FEMTOSLICING operation gap. The size of the poles, the carriage and the girders were optimized to minimize the deformation resulting from the magnetic forces (8 tons at minimum gap).