The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 4 1 1 2 4 0 2 0 2 2 1 0 0 2 1 2 1 4 0 4 4 1 4 4 4 1 1 0 2 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 0 4 4 2 6 6 6 2 2 6 2 2 2 2 6 6 6 4 6 4 6 6 0 6 0 4 6 6 2 0 2 0 2 2 4 4 0 0 4 6 2 0 4 2 2 0 0 6 4 6 2 0 2 2 4 4 2 4 6 0 0 0 2 0 0 0 0 0 0 0 0 4 0 4 6 2 2 6 6 2 6 6 6 6 6 4 4 4 6 0 6 2 0 4 6 4 0 2 2 2 0 6 2 0 6 4 0 6 0 6 0 6 0 2 4 2 0 2 2 4 0 6 6 2 2 4 0 6 2 2 4 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 6 2 2 0 4 4 2 6 2 2 0 0 2 4 4 2 0 2 6 4 2 4 2 4 6 6 6 4 2 6 6 6 2 2 6 6 4 4 0 2 2 6 2 6 2 2 6 6 6 4 2 6 6 4 2 4 2 6 2 6 4 4 4 2 2 2 0 0 0 0 0 2 0 0 4 6 2 2 2 2 0 2 2 0 0 6 4 6 0 0 6 2 4 4 6 2 2 2 2 6 2 0 6 4 2 2 4 4 2 2 4 0 2 0 6 4 4 0 0 6 6 6 4 6 4 2 4 4 4 2 4 6 0 2 4 6 6 6 4 2 4 2 0 2 0 0 0 0 0 0 2 0 6 6 6 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 4 4 4 2 6 6 6 2 6 2 2 4 4 6 2 6 2 2 0 4 2 6 4 2 2 2 2 6 0 4 0 4 4 6 4 4 6 2 4 2 2 2 0 0 4 6 6 4 0 0 0 0 0 0 0 0 0 2 2 4 6 2 0 2 2 0 2 6 4 2 2 4 6 4 6 2 6 4 0 4 6 6 6 4 4 0 0 4 6 4 6 2 0 4 4 2 0 2 4 0 0 2 0 6 6 6 0 6 0 2 0 2 0 0 2 2 2 4 0 6 6 0 2 6 4 0 4 0 0 generates a code of length 78 over Z8 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+60x^64+98x^65+233x^66+318x^67+436x^68+532x^69+672x^70+852x^71+1027x^72+1400x^73+1773x^74+2072x^75+2471x^76+2926x^77+2973x^78+2784x^79+2689x^80+2368x^81+1708x^82+1324x^83+998x^84+826x^85+600x^86+450x^87+387x^88+250x^89+189x^90+118x^91+109x^92+44x^93+43x^94+18x^95+12x^96+4x^97+2x^100+1x^114 The gray image is a code over GF(2) with n=312, k=15 and d=128. This code was found by Heurico 1.16 in 79.1 seconds.