The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 1 1 1 1 X 1 1 X 1 0 X 0 1 1 1 1 1 X 1 0 X X 0 1 1 1 X X 0 1 1 1 0 1 1 0 1 1 0 X+1 1 0 1 X+1 1 0 1 0 X+1 1 0 X+1 1 0 1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 X X+1 1 X X X 0 X+1 0 1 0 1 0 X+1 1 X 1 1 0 X X X+1 0 X+1 X 0 0 0 X X X+1 X 0 0 X+1 1 X+1 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 X X 0 X X 0 X X 0 X 0 X 0 0 0 0 0 X 0 0 0 X 0 X 0 0 0 X X X 0 0 X X 0 0 X X X X 0 0 0 X 0 X 0 0 0 0 X 0 0 0 0 X X X X X X X X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X X 0 0 0 0 X 0 0 0 0 X 0 X X 0 X 0 X 0 X X 0 X 0 X 0 X X 0 X X X X X 0 0 0 0 X 0 0 X 0 0 0 X X X X X 0 X X 0 X X 0 X X X X X X X X X X X X X 0 0 0 0 0 0 X 0 X 0 X 0 X X X X X X 0 0 X 0 0 X X X 0 0 X X X X X 0 0 0 X 0 0 0 0 0 X X X X X 0 0 X X X 0 X 0 0 0 0 X X X X 0 X 0 X 0 0 X 0 X 0 X 0 X 0 X X 0 X 0 0 X 0 X X X X 0 0 0 X 0 X X X 0 0 0 X 0 0 X 0 X X X X X X generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+52x^69+45x^70+51x^72+36x^73+28x^77+15x^78+11x^80+12x^81+3x^86+1x^94+1x^120 The gray image is a linear code over GF(2) with n=146, k=8 and d=69. This code was found by Heurico 1.16 in 66.9 seconds.