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 2 1 0 1 2 0 1 1 1 2 1 1 0 2 0 2 1 0 2 1 2 1 1 2 2 1 1 1 1 1 1 1 2 4 2 1 0 1 1 2 1 2 1 2 2 2 1 0 0 1 0 1 1 1 2 1 1 2 1 1 1 2 1 1 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 0 6 0 6 2 0 0 6 6 6 0 2 4 6 2 6 2 0 6 0 6 2 6 2 6 0 2 6 4 6 2 0 4 6 6 0 2 4 2 0 6 6 0 4 2 2 0 0 4 6 6 4 6 6 4 6 2 2 6 4 0 2 2 2 6 6 6 4 6 2 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 0 4 0 4 0 0 4 4 0 4 4 4 0 0 4 0 0 4 0 0 4 4 0 4 0 4 0 4 4 0 4 0 0 4 4 4 0 4 4 4 0 0 0 4 0 0 4 4 0 4 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 4 4 0 0 4 0 0 4 0 4 0 0 4 4 0 0 4 0 4 4 4 4 4 0 0 0 4 0 4 0 0 0 0 0 4 4 4 4 0 4 0 0 4 4 4 4 0 4 4 4 0 0 0 0 4 0 4 4 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 0 0 4 4 0 0 4 0 4 0 0 4 4 4 0 4 4 0 4 0 0 0 4 4 0 0 4 0 4 4 0 0 0 4 4 0 0 0 4 0 0 4 0 0 4 0 4 4 4 4 4 4 0 0 4 4 0 0 4 4 0 0 0 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 4 4 4 0 0 4 0 0 0 4 0 0 4 0 4 4 4 4 4 4 4 4 0 0 4 0 4 4 4 4 4 0 0 4 4 4 4 0 0 4 4 0 0 0 0 4 4 4 0 4 4 0 4 4 4 4 4 0 0 0 0 4 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 4 0 0 4 0 0 4 0 4 4 0 4 0 4 0 4 4 4 0 4 0 4 0 0 4 4 0 4 0 4 4 0 4 4 0 0 0 4 4 4 0 0 0 4 4 0 4 0 4 4 4 0 0 4 4 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 4 4 0 4 4 4 0 0 4 4 4 4 4 0 4 0 0 0 0 4 4 0 0 0 0 0 4 0 4 0 4 4 4 4 4 0 4 0 0 0 4 0 4 4 0 0 4 4 0 0 4 4 4 0 0 4 0 0 4 4 0 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 0 4 0 0 4 0 0 4 0 0 4 4 0 0 0 4 4 4 4 0 0 0 0 4 0 0 0 0 4 0 4 0 0 4 4 0 0 4 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 0 4 4 0 0 4 0 4 4 4 0 0 4 0 0 0 4 4 4 4 4 0 0 4 0 0 0 4 4 4 4 0 4 0 0 4 0 0 0 4 0 0 4 0 4 4 0 0 0 4 4 4 0 4 0 4 0 0 0 0 4 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 0 0 4 4 0 0 0 0 0 0 4 0 4 4 4 0 4 0 0 4 4 0 4 0 0 4 0 0 4 4 4 4 0 0 0 0 0 4 4 4 4 0 4 4 4 4 0 4 4 4 0 0 4 0 0 0 0 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 0 4 0 4 4 4 0 0 4 0 0 4 4 4 4 4 0 0 4 0 4 4 0 0 4 0 0 4 4 0 4 4 0 4 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 4 4 0 0 0 0 0 4 4 0 4 4 4 0 0 0 0 generates a code of length 89 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+80x^68+16x^70+277x^72+74x^74+529x^76+8x^77+410x^78+88x^79+1114x^80+352x^81+832x^82+848x^83+1640x^84+1912x^85+1352x^86+3224x^87+2016x^88+3584x^89+1486x^90+3040x^91+1882x^92+2040x^93+1122x^94+904x^95+1358x^96+288x^97+628x^98+80x^99+753x^100+8x^101+196x^102+8x^103+366x^104+20x^106+149x^108+8x^110+51x^112+22x^116+1x^120+1x^132 The gray image is a code over GF(2) with n=356, k=15 and d=136. This code was found by Heurico 1.16 in 99.5 seconds.