The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 X 1 1 1 0 1 1 0 1 X 1 1 X 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 X X 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 X 1 1 1 1 0 1 X 1 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 X+1 0 1 X 1 X+1 X+1 0 1 0 X+1 1 X+1 1 X 0 1 X+1 1 0 X+1 X+1 1 X+1 1 0 X X+1 0 0 X+1 X+1 X+1 1 1 1 1 1 1 1 X+1 X+1 1 X 1 X+1 1 X+1 1 1 X 0 X X X X 1 X+1 0 X+1 X X X+1 X 1 1 X 0 0 X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X X X X X X X 0 0 0 0 X X 0 X 0 0 X X X 0 X X 0 X 0 X X 0 X 0 X 0 X 0 0 X X 0 0 X X 0 0 X X 0 0 X X 0 0 0 0 X 0 0 X 0 0 0 X 0 X X 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 0 0 0 X X X X 0 X 0 0 X X X X 0 X 0 X 0 0 0 0 X 0 X X X 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 0 X X 0 0 X 0 0 X X X X X 0 X 0 X X 0 X X 0 0 0 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X X X X X X 0 X X X X X X X 0 X X 0 X 0 X 0 0 0 X 0 0 X X 0 X 0 X X X X 0 0 0 X 0 0 X X X X X X 0 0 X 0 0 0 X X 0 0 X X X 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X 0 X 0 0 0 X X X 0 X X 0 X 0 X X 0 X X 0 0 0 X 0 0 X 0 0 0 0 X 0 X X 0 X X 0 X X 0 0 X X 0 0 X X 0 X 0 X 0 X 0 X 0 X X 0 X X 0 0 X X 0 0 0 0 0 0 X 0 X X 0 0 X 0 X X X X X X 0 X X X 0 X 0 X X 0 0 0 0 X 0 X 0 X X X 0 X 0 X X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X X 0 X 0 X 0 0 X 0 0 X X X X 0 0 X 0 X X X 0 0 0 0 0 0 0 X X 0 X 0 X 0 0 X 0 X 0 X 0 X 0 0 X X 0 0 0 X X 0 0 0 X X 0 X X 0 X X 0 0 0 X X X X X 0 0 X X 0 X X 0 X 0 0 X X 0 X X 0 0 X 0 X 0 0 X 0 0 0 X 0 X X 0 generates a code of length 82 over Z2[X]/(X^2) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+94x^74+148x^76+146x^78+104x^80+110x^82+109x^84+94x^86+94x^88+46x^90+45x^92+13x^94+7x^96+4x^98+1x^100+2x^102+1x^104+2x^106+1x^108+1x^110+1x^120 The gray image is a linear code over GF(2) with n=164, k=10 and d=74. This code was found by Heurico 1.16 in 36.4 seconds.