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 2 0 2 1 1 2 1 1 1 1 1 1 0 0 1 2 1 1 2 0 1 2 1 1 0 1 1 1 0 2 1 0 1 2 2 1 1 2 2 1 0 2 2 1 1 2 0 2 0 6 0 6 0 6 0 6 4 6 0 6 2 0 4 4 6 6 0 6 0 2 4 0 4 4 6 2 2 2 6 2 6 0 0 6 6 6 2 2 0 0 2 2 0 6 6 4 2 2 6 6 2 2 2 4 6 2 2 6 4 2 2 6 6 6 0 2 0 4 2 6 6 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 0 0 0 4 4 4 4 0 0 0 4 0 4 0 0 0 4 0 0 4 4 4 4 4 0 0 0 4 4 0 4 4 4 0 4 4 4 0 0 0 0 4 0 0 4 4 0 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 0 0 0 0 4 0 4 0 0 0 0 0 0 4 4 0 0 0 0 0 4 4 0 4 4 4 4 4 4 0 0 4 0 4 4 0 4 4 0 4 4 0 0 4 0 4 0 4 4 4 0 4 0 0 0 4 4 4 4 4 0 4 4 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 4 0 0 4 0 4 0 4 0 0 4 0 0 0 0 4 4 4 4 4 4 4 0 4 4 4 0 0 0 0 0 4 4 0 4 4 0 4 4 0 4 0 0 0 4 0 0 4 0 0 4 4 0 4 4 4 0 0 4 4 0 0 0 0 0 0 4 0 0 0 4 0 4 0 0 4 0 0 0 0 4 4 0 4 4 4 4 4 4 0 4 0 4 4 0 0 0 4 4 4 0 4 4 0 0 0 0 4 4 4 4 4 0 0 0 0 4 0 0 0 4 4 0 0 4 0 4 4 4 4 0 4 0 0 4 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 4 4 4 0 4 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 0 0 4 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 4 0 0 4 0 4 0 4 0 0 4 4 0 4 0 4 4 4 0 0 0 0 0 0 0 4 0 4 0 0 0 4 4 4 4 0 4 4 4 0 0 4 4 4 0 4 4 0 0 0 4 0 4 4 4 0 0 0 4 0 0 4 0 0 0 0 4 4 4 0 4 4 0 0 4 0 4 0 4 4 0 4 4 4 4 0 0 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 0 0 0 4 4 0 4 0 4 4 0 0 0 4 4 4 4 4 0 4 0 0 0 4 4 4 0 0 0 0 0 0 0 0 4 4 0 4 0 0 4 4 4 4 0 0 4 4 0 4 4 0 0 4 0 0 0 4 0 0 4 0 generates a code of length 78 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+126x^68+114x^70+352x^72+464x^74+733x^76+612x^78+684x^80+464x^82+286x^84+122x^86+71x^88+16x^90+30x^92+10x^96+8x^100+1x^104+1x^108+1x^112 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 1.71 seconds.