The generator matrix 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 1 2 1 0 1 2 1 1 1 0 1 1 1 1 2 1 0 1 1 4 1 1 1 1 1 1 2 4 2 2 2 4 0 2 4 1 1 4 1 2 2 1 0 4 1 2 4 1 1 1 0 1 1 1 2 2 4 4 1 1 1 1 1 1 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 0 6 6 0 2 0 0 6 6 2 2 0 6 6 2 0 6 6 0 6 2 4 6 4 0 6 6 2 0 6 4 6 2 4 2 0 0 6 0 6 6 6 4 2 2 4 6 2 4 2 0 2 4 0 2 6 6 2 2 4 6 2 4 0 2 6 0 0 4 0 0 0 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 0 4 0 4 0 4 0 4 4 4 0 0 0 0 4 4 4 0 4 4 0 0 4 4 0 4 4 4 4 0 4 4 4 4 4 4 4 4 4 0 0 0 4 4 0 4 4 0 0 4 0 4 4 4 0 0 0 4 4 4 0 0 0 4 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 4 4 4 4 4 4 0 4 0 4 0 0 4 4 4 0 0 0 4 0 0 0 4 4 0 4 0 4 4 4 4 4 4 4 4 0 4 4 4 0 4 0 4 0 0 0 4 0 0 0 4 0 0 4 4 4 0 0 0 0 0 4 4 4 4 0 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 0 0 4 4 4 4 4 4 4 4 4 0 4 4 0 4 0 4 4 4 4 4 0 4 0 4 0 4 0 0 4 4 4 0 0 0 0 4 4 0 4 0 4 4 0 0 0 4 4 0 0 4 0 4 4 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 0 4 4 0 0 0 0 4 4 4 0 0 0 4 0 4 0 4 4 4 4 0 0 4 4 4 4 0 0 4 0 0 4 0 4 4 4 0 0 0 0 0 4 0 4 4 0 0 4 4 4 0 0 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 0 0 4 4 0 0 4 4 0 0 4 4 4 4 0 0 0 0 0 4 0 4 0 4 0 4 0 4 4 4 0 0 0 0 4 4 4 4 4 4 0 0 0 4 0 4 0 0 4 4 0 4 4 0 4 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 4 4 4 0 4 0 4 0 0 4 4 0 0 0 0 0 4 4 0 4 0 4 4 0 0 0 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 0 4 4 0 0 0 0 0 0 0 4 0 4 0 4 0 0 0 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 4 0 0 4 4 0 0 4 4 4 4 0 0 0 0 0 4 0 0 0 4 4 4 0 4 4 4 0 4 4 4 0 0 0 4 4 4 0 0 4 4 0 4 0 0 4 4 0 0 0 0 0 0 4 0 4 0 0 0 0 0 4 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 0 0 4 0 0 4 0 4 4 0 4 4 0 4 0 4 4 0 0 0 4 0 4 4 4 0 0 4 4 4 0 4 0 4 4 0 4 4 4 0 4 0 0 4 0 4 4 4 0 0 4 4 0 4 0 0 0 0 4 4 0 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 4 4 4 4 0 0 4 0 0 4 4 0 4 0 4 4 4 4 0 0 4 0 4 0 0 0 4 4 0 0 0 0 4 0 0 4 4 0 0 4 4 4 0 4 4 4 0 4 0 4 0 0 0 4 4 0 4 0 0 0 0 0 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 0 0 0 0 4 4 4 4 4 0 4 4 4 0 4 0 0 0 0 0 4 4 0 4 0 0 4 4 4 4 0 0 4 4 4 0 4 0 0 0 4 4 0 4 0 0 0 0 0 4 4 4 0 4 4 4 0 4 4 4 0 0 0 0 4 0 0 0 0 0 0 0 generates a code of length 91 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+141x^68+26x^70+310x^72+4x^73+96x^74+26x^75+401x^76+102x^77+195x^78+184x^79+546x^80+478x^81+369x^82+974x^83+625x^84+1716x^85+445x^86+2878x^87+493x^88+3794x^89+440x^90+4146x^91+496x^92+3924x^93+527x^94+2910x^95+386x^96+1714x^97+614x^98+970x^99+357x^100+452x^101+554x^102+170x^103+217x^104+90x^105+411x^106+28x^107+87x^108+14x^109+251x^110+2x^111+31x^112+108x^114+5x^116+47x^118+9x^122+3x^126+1x^130 The gray image is a code over GF(2) with n=364, k=15 and d=136. This code was found by Heurico 1.16 in 99.5 seconds.