The generator matrix 1 0 1 1 1 6 1 1 0 1 1 6 0 1 1 1 1 6 1 1 0 1 6 1 1 1 0 6 1 1 6 0 1 1 1 1 1 1 1 0 1 1 6 6 0 1 1 1 1 1 4 1 1 1 6 1 1 1 6 1 0 1 1 1 2 1 1 1 1 2 0 2 1 1 2 6 2 0 0 1 3 6 1 1 0 3 1 6 1 1 1 0 3 6 5 1 3 0 1 6 1 0 5 3 1 1 5 6 1 1 0 6 3 5 5 3 0 1 6 6 1 1 1 5 0 3 6 5 1 5 5 3 1 0 7 5 1 4 1 5 0 1 1 6 5 7 4 1 1 6 5 2 2 1 0 1 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 0 4 4 4 0 0 0 4 0 4 0 4 4 4 0 4 0 0 4 0 4 4 4 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 0 0 4 0 0 4 4 4 4 0 0 4 4 4 4 0 0 4 4 0 4 4 4 0 4 0 0 0 4 0 4 0 0 4 0 4 0 4 0 4 0 4 0 0 0 0 4 0 4 4 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 0 4 0 0 4 4 0 4 0 4 4 0 0 0 4 0 4 4 0 4 0 4 4 0 4 0 4 0 0 0 0 0 4 4 0 0 4 0 0 0 4 4 0 4 4 0 0 0 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 4 4 4 0 4 4 0 0 4 0 0 4 4 4 0 0 0 4 4 4 0 0 0 4 4 0 4 0 4 0 4 0 0 4 4 0 4 0 0 0 4 0 0 4 0 0 4 4 0 0 0 4 4 4 0 0 0 0 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 0 4 4 4 4 0 0 0 0 0 4 4 0 4 4 4 0 0 4 4 0 0 0 0 4 4 0 0 4 0 0 0 0 4 0 4 0 0 0 4 0 4 4 4 0 4 0 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 0 0 0 0 4 4 4 4 4 0 0 0 0 4 0 4 4 4 4 0 0 4 4 0 0 4 4 4 4 0 4 4 0 0 4 4 0 4 0 0 0 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 4 4 0 0 4 0 4 0 0 4 4 4 4 4 4 4 4 4 0 0 4 0 4 0 4 4 0 0 4 4 4 4 4 4 4 4 4 0 0 0 4 0 4 4 0 0 4 0 4 0 0 0 0 4 4 0 4 4 4 0 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 4 0 0 0 4 0 0 4 0 0 4 0 4 0 0 0 4 4 4 4 0 0 0 0 4 4 0 4 4 4 0 0 4 4 4 0 4 0 0 0 4 4 4 0 0 4 4 4 4 0 0 4 0 0 4 0 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 4 4 0 4 0 4 0 4 0 4 0 0 0 4 4 0 4 0 4 4 0 4 0 0 4 0 0 0 4 4 4 4 4 0 0 0 4 4 0 0 4 4 0 0 4 4 4 4 4 0 0 0 4 4 0 0 0 4 0 0 4 4 generates a code of length 78 over Z8 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+166x^64+80x^66+8x^67+547x^68+124x^69+600x^70+456x^71+1541x^72+1076x^73+2182x^74+1904x^75+3355x^76+2552x^77+3546x^78+2608x^79+3526x^80+1928x^81+2092x^82+1032x^83+1459x^84+460x^85+620x^86+136x^87+436x^88+4x^89+94x^90+157x^92+2x^94+55x^96+18x^100+3x^104 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 58.3 seconds.