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 2 0 1 2 0 1 1 2 0 1 1 2 0 1 1 1 2 1 2 1 1 0 1 0 1 2 1 0 1 0 2 2 1 1 1 1 0 1 0 2 4 2 2 1 1 2 1 1 2 1 0 4 2 1 1 1 4 1 2 1 1 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 0 6 6 0 4 6 6 0 4 0 6 2 2 6 2 6 6 6 2 0 0 6 2 6 6 0 6 2 6 4 6 2 0 2 0 6 6 2 4 2 6 6 2 4 2 2 2 0 2 6 2 6 0 4 0 2 4 4 4 4 0 2 2 6 0 2 4 6 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 4 0 0 0 0 4 0 4 0 4 4 4 0 4 4 4 4 0 0 4 4 0 4 0 4 4 4 4 0 0 4 4 0 4 0 4 0 0 0 4 0 4 0 0 4 4 0 4 0 4 4 4 0 4 0 0 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 4 0 4 0 0 0 0 4 4 4 0 4 4 0 4 4 0 0 4 4 0 0 0 0 4 0 0 4 4 0 0 4 4 4 4 4 0 4 4 0 4 4 4 4 0 4 0 4 0 4 4 4 0 4 4 4 4 4 4 4 0 0 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 4 0 0 4 0 0 4 4 4 0 4 0 0 4 0 4 4 4 4 4 0 4 4 0 4 0 0 0 0 4 4 0 0 4 0 4 0 0 0 0 0 0 4 0 4 4 0 4 4 4 4 4 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 0 4 0 4 4 4 0 0 0 4 4 0 4 4 0 4 4 4 0 4 4 0 4 4 0 0 4 4 4 0 0 4 4 4 4 4 4 4 4 4 0 4 0 4 4 4 4 0 0 4 4 4 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 0 4 4 0 0 0 0 0 0 4 4 0 4 4 4 4 4 0 4 4 0 0 4 0 0 0 4 4 4 4 4 0 0 4 0 0 0 4 0 4 0 0 4 4 0 4 4 0 4 0 4 0 0 4 4 4 0 0 4 0 0 0 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 4 4 0 0 4 0 4 4 0 0 4 4 0 4 4 0 4 0 4 4 0 4 0 0 4 0 4 4 0 4 4 0 0 0 4 4 4 0 4 4 4 4 0 0 0 0 0 4 0 4 0 4 4 4 4 4 4 4 4 4 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 4 4 0 4 4 0 4 0 4 0 4 0 0 4 4 0 4 4 4 0 0 4 4 4 4 4 0 0 0 4 0 0 4 0 0 0 4 4 4 0 4 0 4 4 0 4 0 4 4 4 4 4 0 4 0 4 0 0 4 0 0 0 0 0 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 4 4 4 0 4 4 4 0 0 4 0 4 4 4 0 0 4 4 4 4 0 0 0 4 0 0 4 4 4 4 4 4 4 0 4 4 0 0 4 4 0 0 0 0 0 0 4 0 4 0 0 4 0 0 0 4 0 4 4 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 0 0 4 4 0 4 4 4 4 4 4 4 4 0 0 0 0 4 0 0 0 0 4 0 4 0 0 0 0 4 4 4 4 0 0 0 0 4 0 0 0 4 0 4 0 4 0 4 4 0 0 0 4 0 4 4 4 0 0 4 0 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 0 4 4 4 0 0 4 0 0 4 0 0 4 4 4 0 4 4 4 0 4 0 4 4 0 0 4 0 0 4 0 4 0 4 4 4 0 0 4 0 0 0 0 4 0 4 0 0 0 0 4 4 4 0 4 4 0 0 4 0 0 0 0 0 4 0 0 0 generates a code of length 87 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+67x^68+56x^70+8x^71+225x^72+54x^73+197x^74+136x^75+425x^76+264x^77+511x^78+594x^79+1019x^80+1222x^81+1280x^82+1888x^83+1944x^84+2498x^85+2605x^86+2952x^87+2273x^88+2656x^89+2019x^90+1858x^91+1422x^92+1196x^93+838x^94+626x^95+539x^96+254x^97+393x^98+116x^99+193x^100+42x^101+194x^102+12x^103+65x^104+6x^105+68x^106+2x^107+13x^108+19x^110+5x^112+11x^114+1x^118+1x^120 The gray image is a code over GF(2) with n=348, k=15 and d=136. This code was found by Heurico 1.16 in 99.6 seconds.