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 1 2 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 0 2 2 0 2 0 6 0 6 0 2 0 6 0 2 0 6 0 2 0 6 0 2 0 6 0 2 0 6 4 6 4 2 4 2 4 4 4 6 4 2 4 6 4 2 0 6 6 4 4 2 4 2 0 6 4 6 4 6 4 2 0 6 4 2 4 2 4 2 6 2 6 2 0 0 0 0 4 0 0 0 4 0 0 0 0 0 4 0 4 0 0 4 0 4 0 4 0 4 4 4 4 4 4 4 4 4 0 4 0 0 4 0 0 4 0 4 4 0 4 0 0 0 4 4 4 4 4 4 0 0 0 0 4 0 4 0 0 4 0 4 0 0 4 4 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 4 0 4 4 4 4 4 4 4 4 4 4 0 4 0 4 0 4 0 0 4 0 0 0 4 4 4 0 0 4 4 0 0 4 0 0 4 4 4 0 0 4 0 0 4 4 4 0 0 4 0 0 4 0 4 4 0 0 0 0 0 0 0 4 0 4 0 0 4 4 4 4 4 0 4 4 0 4 0 0 4 0 4 0 4 4 0 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 0 4 4 4 4 0 4 0 4 4 0 4 0 4 4 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 0 4 4 0 0 4 4 4 0 0 4 0 0 0 0 4 4 4 4 4 0 4 0 0 0 0 4 4 0 4 4 4 0 4 4 4 0 4 4 0 4 4 0 0 0 0 4 4 4 0 0 4 0 0 0 0 0 0 0 generates a code of length 72 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+48x^68+96x^70+220x^72+96x^74+48x^76+2x^80+1x^128 The gray image is a code over GF(2) with n=288, k=9 and d=136. This code was found by Heurico 1.16 in 0.17 seconds.