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 2 2 1 2 4 4 0 1 4 1 2 1 4 2 2 4 2 0 1 4 2 1 4 1 1 1 0 2 1 0 2 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 4 0 0 0 4 4 6 6 2 6 6 2 2 6 6 6 6 2 4 2 2 6 4 6 6 4 0 2 4 0 2 6 6 4 0 0 6 6 6 4 2 2 6 2 2 4 2 6 2 6 0 6 4 4 0 2 4 4 0 4 2 6 0 2 6 4 2 2 2 0 0 2 0 0 0 0 0 0 0 2 2 6 6 6 4 6 2 4 6 4 6 4 4 6 6 0 4 2 4 0 4 2 4 2 0 6 6 0 2 4 2 2 2 4 4 2 2 4 4 4 4 4 6 2 6 2 6 4 2 0 2 4 2 0 2 4 2 2 4 4 4 2 0 4 0 2 4 0 0 6 0 4 2 4 4 0 0 0 2 0 0 0 2 6 2 4 2 2 0 2 0 2 0 6 6 4 4 0 2 4 2 6 0 0 2 6 6 4 0 6 4 4 4 4 2 6 0 0 0 6 6 2 0 2 0 2 2 6 2 2 2 4 6 6 0 6 4 0 0 2 6 0 2 4 4 2 6 0 2 2 2 6 2 0 4 0 4 4 6 2 0 0 0 0 0 2 0 2 2 2 4 4 4 4 2 6 2 6 2 6 4 4 4 4 0 2 0 0 4 2 2 0 6 0 2 4 6 2 4 6 2 6 4 4 6 6 2 6 2 4 0 6 0 4 4 6 0 4 4 6 6 0 4 2 0 0 4 4 2 0 0 4 6 4 6 4 0 6 2 4 0 0 6 0 2 2 2 0 0 0 0 0 2 2 0 2 6 2 0 2 0 2 4 4 2 4 4 2 0 4 4 4 2 2 2 6 0 6 0 6 6 4 6 6 4 4 6 2 4 2 4 2 0 4 2 4 0 6 4 4 0 0 6 0 2 6 4 0 4 6 2 2 6 6 6 6 2 2 0 4 4 0 2 4 0 6 2 6 2 6 6 2 2 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 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 4 4 4 4 0 4 4 4 4 4 4 0 0 4 0 4 4 4 0 4 0 0 4 4 4 4 0 0 4 0 0 4 4 4 4 0 0 0 0 0 0 0 4 4 0 0 0 0 4 4 4 0 0 0 4 4 4 4 4 0 0 0 0 4 4 4 0 0 4 0 4 0 4 0 0 4 0 4 0 0 0 4 4 4 0 4 0 4 0 0 4 4 4 4 4 0 0 0 0 4 4 4 4 0 0 0 4 0 0 0 0 0 4 0 4 4 0 0 4 4 0 generates a code of length 86 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+106x^72+132x^73+260x^74+354x^75+433x^76+540x^77+651x^78+768x^79+1082x^80+1168x^81+1707x^82+2246x^83+2524x^84+3056x^85+2707x^86+2978x^87+2681x^88+2224x^89+1808x^90+1198x^91+1088x^92+756x^93+571x^94+444x^95+401x^96+248x^97+193x^98+178x^99+114x^100+64x^101+38x^102+18x^103+17x^104+4x^105+8x^107+1x^108+1x^134 The gray image is a code over GF(2) with n=344, k=15 and d=144. This code was found by Heurico 1.16 in 90.7 seconds.