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 2 0 2 0 2 4 2 2 2 4 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 0 0 4 4 4 4 0 0 4 0 2 2 1 1 1 1 1 1 0 2 0 6 4 6 4 2 0 6 0 6 4 2 4 2 0 6 0 6 4 2 4 2 6 2 6 2 2 2 0 4 2 2 0 4 6 2 0 4 6 2 0 4 6 6 0 4 2 2 2 2 2 2 0 4 4 0 4 4 0 4 0 6 0 6 4 0 0 0 4 4 4 0 0 4 0 0 4 4 4 4 0 0 0 0 4 4 4 4 0 0 0 4 4 0 4 0 4 4 0 4 0 0 0 0 4 4 4 4 0 0 0 4 4 4 4 0 0 4 4 0 4 4 4 4 0 0 0 0 0 0 4 4 4 0 generates a code of length 68 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+39x^68+16x^70+7x^72+1x^76 The gray image is a code over GF(2) with n=272, k=6 and d=136. This code was found by Heurico 1.16 in 0.123 seconds.