The generator matrix 1 0 1 1 1 6 1 1 4 1 2 1 1 4 1 4 1 1 1 1 2 2 1 1 1 2 1 6 1 1 1 1 1 4 1 2 1 0 1 1 4 0 2 1 1 1 6 0 1 1 1 1 1 1 2 1 1 1 1 0 6 1 1 1 1 1 0 1 0 2 1 1 0 4 1 1 2 1 0 1 1 6 3 1 0 3 1 2 1 5 0 1 1 1 4 3 6 7 1 1 2 5 1 1 2 1 6 0 0 7 2 1 1 1 2 1 3 5 1 1 1 4 7 5 1 1 2 6 2 0 7 1 1 1 4 0 4 1 1 1 7 4 6 4 1 4 1 1 5 0 1 0 6 4 4 0 0 0 2 0 6 0 6 0 2 6 2 4 4 6 2 0 6 4 0 6 6 0 6 4 0 2 6 4 0 4 2 2 0 2 6 0 6 4 4 0 6 0 2 2 0 6 0 2 6 2 0 0 6 6 6 4 6 6 4 6 2 2 4 6 2 6 0 2 4 4 4 0 6 2 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 0 4 4 4 4 0 0 0 4 0 0 4 0 4 0 4 0 0 4 0 4 4 4 4 0 4 0 4 0 4 0 4 4 0 4 4 4 4 4 4 4 0 0 4 4 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 4 0 4 4 0 4 4 0 4 4 0 4 0 0 0 0 4 4 0 4 4 4 0 0 0 0 4 4 0 4 0 4 0 4 0 0 0 0 0 4 4 0 4 0 4 0 0 0 0 4 4 4 4 0 0 4 4 4 4 4 4 0 4 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 0 0 4 0 4 0 0 4 0 4 4 0 4 0 0 4 0 4 0 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 4 0 0 0 4 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 4 4 0 0 0 0 0 0 4 4 4 4 0 4 4 0 0 0 4 4 0 0 4 4 0 0 4 0 4 0 4 4 0 0 4 4 0 4 0 4 0 0 0 0 0 0 0 4 4 0 0 4 0 4 0 0 0 0 0 4 4 4 4 4 4 0 0 0 0 4 4 4 0 4 4 0 4 0 0 4 4 4 0 4 4 0 0 0 4 4 4 4 0 4 4 0 0 4 0 0 0 0 0 4 4 0 0 0 0 4 0 4 4 0 4 0 4 4 generates a code of length 78 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+46x^68+68x^69+144x^70+250x^71+328x^72+474x^73+450x^74+604x^75+804x^76+686x^77+683x^78+690x^79+757x^80+588x^81+340x^82+408x^83+299x^84+200x^85+145x^86+78x^87+51x^88+26x^89+18x^90+12x^91+10x^92+6x^93+10x^94+6x^95+6x^96+1x^100+1x^102+1x^104+1x^110 The gray image is a code over GF(2) with n=312, k=13 and d=136. This code was found by Heurico 1.16 in 3.96 seconds.