The generator matrix 1 0 0 1 1 1 0 1 1 1 1 X X 0 0 1 X 1 1 0 1 0 X X 1 1 1 1 1 0 1 1 1 1 0 1 X 1 X 1 1 X X X 1 1 X 1 1 1 1 1 0 0 1 1 0 0 1 X 1 1 1 1 1 1 X 1 1 1 0 1 X 1 1 X 1 X 0 0 1 0 0 1 1 1 0 X 1 X+1 1 1 0 1 0 X 0 X+1 1 X+1 1 1 0 X+1 1 0 0 1 1 X X X+1 0 X 0 1 X 1 X+1 X+1 1 1 1 1 X 1 0 X+1 1 X 1 1 1 1 1 X X 1 0 1 X X 0 1 X+1 1 1 X 1 0 X 1 X+1 X+1 0 0 1 0 0 0 1 1 1 0 1 0 1 X+1 0 X X+1 1 X 0 1 1 X+1 X+1 0 X+1 0 1 0 1 0 1 X+1 0 0 X X 0 1 1 X+1 X+1 X X+1 X 1 1 X X 0 X 0 X+1 X+1 1 0 0 X X X 1 1 0 1 1 X 1 X X+1 X 1 X+1 X+1 X+1 1 X X+1 X X+1 1 1 X X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 0 X 0 0 X 0 0 X 0 0 0 X 0 X 0 X X X X 0 X 0 X X 0 0 X X X X 0 X X 0 0 X X 0 X X X 0 0 X X 0 X 0 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 X X 0 X X X 0 0 X X X X 0 X 0 0 X 0 X 0 X X 0 0 0 0 X X 0 0 X X X 0 X X 0 0 X X 0 0 0 0 0 0 X X X 0 X 0 X 0 X 0 X 0 0 X X 0 X 0 0 0 0 0 X 0 0 X 0 0 0 0 X 0 0 0 X X X X X 0 X 0 X 0 0 0 X 0 0 X X X 0 X 0 0 0 X X 0 X X X X X X X 0 X X 0 0 0 0 X 0 X 0 0 0 0 0 X 0 X 0 X X X 0 X 0 X X X X 0 0 0 0 0 0 X 0 X 0 0 X 0 X X X X 0 0 X 0 0 X X X 0 X 0 0 0 0 X 0 X X X X X X X 0 X 0 X X 0 0 0 0 0 0 X X 0 0 0 X X 0 X X 0 0 0 X X X X X X 0 0 0 X X X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X X X X X X X X 0 X X X X X X X X 0 X 0 X X X X X X 0 X 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 generates a code of length 79 over Z2[X]/(X^2) who�s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+107x^70+243x^72+285x^74+242x^76+253x^78+221x^80+189x^82+136x^84+128x^86+107x^88+42x^90+60x^92+15x^94+12x^96+3x^98+2x^100+1x^102+1x^106 The gray image is a linear code over GF(2) with n=158, k=11 and d=70. This code was found by Heurico 1.16 in 1.08 seconds.