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 2 1 4 2 1 2 1 1 1 0 1 1 0 1 4 1 1 0 2 0 1 1 2 1 1 1 1 1 0 1 4 0 2 2 2 2 4 4 4 1 0 2 0 2 0 0 2 6 0 4 6 2 0 2 2 0 4 2 6 4 0 4 2 4 2 0 4 2 6 0 6 6 4 4 6 0 2 0 2 6 2 4 4 0 6 2 0 2 4 0 0 6 2 4 4 0 4 4 6 0 6 2 0 2 6 6 4 2 4 4 4 0 0 2 2 2 4 2 0 0 2 2 0 6 2 0 4 2 0 2 0 6 4 6 2 2 4 4 4 2 0 4 6 0 6 0 0 6 2 2 4 2 0 0 2 6 2 0 6 2 4 6 2 6 6 0 0 4 2 4 2 4 0 2 2 2 6 4 0 4 2 6 2 2 2 6 2 2 2 6 2 6 2 2 0 2 0 0 0 4 0 0 0 0 4 4 4 0 4 0 4 0 0 4 4 0 4 0 0 0 4 4 0 0 4 4 4 0 0 4 0 0 0 0 0 4 0 4 4 0 0 4 4 0 0 4 4 4 0 4 4 0 0 4 4 4 4 0 0 0 0 4 4 4 0 0 4 0 0 4 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 0 4 4 0 0 4 0 0 4 4 0 0 4 4 4 0 0 0 0 4 0 4 0 4 4 4 0 4 0 0 4 0 4 4 4 0 4 0 4 4 4 0 0 0 0 0 0 4 0 0 0 4 0 4 4 4 4 4 4 0 4 0 0 0 0 4 4 0 0 4 4 0 4 0 4 0 0 4 4 4 0 0 4 0 0 0 4 0 0 0 4 0 0 4 4 4 4 0 0 4 4 4 4 0 0 0 0 4 0 4 4 4 0 4 4 4 4 4 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 4 0 0 0 4 0 4 0 0 0 0 4 0 0 4 4 0 4 0 4 4 4 0 4 4 0 4 0 0 0 0 4 0 0 4 0 4 0 4 0 0 4 4 4 4 0 0 4 4 0 0 0 4 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 4 4 0 0 4 4 4 4 0 4 0 4 0 4 0 0 0 4 0 4 0 4 4 4 0 4 4 4 4 0 0 4 0 4 4 4 0 4 4 0 0 0 4 4 0 0 0 4 4 0 0 0 0 4 4 0 4 0 4 0 0 0 4 generates a code of length 78 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+38x^68+60x^69+142x^70+102x^71+250x^72+122x^73+308x^74+132x^75+506x^76+130x^77+625x^78+110x^79+523x^80+102x^81+325x^82+106x^83+153x^84+66x^85+99x^86+52x^87+46x^88+24x^89+26x^90+10x^91+14x^92+8x^93+5x^94+4x^96+4x^98+1x^100+1x^102+1x^114 The gray image is a code over GF(2) with n=312, k=12 and d=136. This code was found by Heurico 1.16 in 1.48 seconds.