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 X 1 1 X 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 X X 0 1 X 1 0 1 1 1 1 1 1 1 X 1 1 X 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 1 0 X+1 1 X 0 X+1 1 X+1 X+1 1 X+1 1 0 X X+1 X+1 0 0 X+1 X+1 1 1 1 1 1 1 1 0 0 1 X X X X 0 0 X+1 1 1 0 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 X X X X X 0 0 0 0 X X X 0 0 X 0 0 X X X 0 X 0 X 0 0 0 X 0 0 X X X 0 X 0 X 0 X X 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 X 0 X X X 0 0 X X 0 0 0 0 X 0 X X X 0 X 0 0 0 X 0 X X X 0 X 0 0 0 0 X X 0 X 0 0 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 0 0 X X X 0 X X X X X X X 0 0 X 0 X X 0 0 0 X 0 X X X X X 0 0 0 X 0 0 0 0 0 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 X X 0 X 0 X 0 X 0 0 0 X 0 0 X 0 0 0 0 X 0 X X 0 X X X 0 X X 0 0 X 0 X X 0 X 0 X X 0 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 0 X 0 0 0 X X 0 0 X X X 0 X 0 X X X 0 X 0 0 0 X 0 X 0 0 X X X X 0 0 X 0 0 X 0 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 X 0 0 X X X 0 0 0 X X 0 X X 0 X 0 0 X X X X 0 0 X 0 X 0 X X X 0 0 0 X X X X 0 0 0 generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+72x^61+63x^62+118x^64+122x^65+48x^66+16x^68+124x^69+74x^70+85x^72+128x^73+48x^74+16x^76+60x^77+16x^78+11x^80+6x^81+6x^86+7x^88+1x^94+2x^96 The gray image is a linear code over GF(2) with n=138, k=10 and d=61. This code was found by Heurico 1.16 in 44.3 seconds.