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 1 1 1 1 1 1 1 1 1 1 4 0 0 0 2 2 0 4 1 2 4 0 2 4 2 0 4 1 1 1 4 2 2 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 2 2 6 2 2 2 6 4 2 6 6 6 2 6 0 6 6 6 6 0 4 6 6 0 6 4 2 6 2 6 6 0 2 0 4 2 6 2 4 0 6 2 2 0 4 2 4 2 0 0 4 4 0 2 4 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 0 6 4 0 6 2 0 4 4 6 2 4 6 2 6 0 0 4 6 4 2 2 0 4 4 0 2 4 6 4 4 2 6 2 2 4 6 0 2 4 0 0 6 6 0 2 2 0 2 4 4 4 4 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 6 2 0 4 4 2 6 2 4 4 6 2 6 6 6 0 6 6 2 2 2 4 0 4 0 2 2 2 6 4 2 6 4 2 6 2 4 6 0 0 4 0 4 4 2 0 4 4 0 2 0 2 4 0 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 2 2 6 6 2 2 4 6 4 0 4 2 0 4 0 2 6 4 2 2 6 4 4 4 6 0 0 0 4 2 6 2 4 0 6 0 4 2 6 4 6 2 4 0 6 0 0 0 6 6 2 6 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 6 2 6 6 2 2 2 2 6 4 4 2 6 6 0 6 2 6 2 6 6 6 6 0 2 2 4 4 6 6 2 0 4 0 0 2 2 2 4 4 4 2 2 0 4 4 0 6 0 4 2 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 6 4 0 2 6 6 4 6 4 0 6 4 0 2 4 2 2 2 4 4 0 2 6 2 0 2 6 2 0 2 4 4 4 4 4 0 6 4 6 4 0 4 4 4 2 0 4 2 4 0 2 0 2 2 6 generates a code of length 82 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+67x^68+132x^69+227x^70+316x^71+404x^72+528x^73+640x^74+810x^75+1053x^76+1336x^77+1825x^78+2136x^79+2461x^80+2888x^81+2978x^82+2970x^83+2651x^84+2232x^85+1799x^86+1348x^87+994x^88+752x^89+568x^90+486x^91+335x^92+264x^93+226x^94+104x^95+84x^96+56x^97+54x^98+22x^99+14x^100+4x^101+2x^102+1x^126 The gray image is a code over GF(2) with n=328, k=15 and d=136. This code was found by Heurico 1.16 in 84.5 seconds.