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 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 2 1 2 1 1 1 1 1 2 2 1 4 1 2 1 4 1 1 1 2 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 0 0 0 4 4 4 4 0 4 4 0 4 4 0 4 0 0 4 0 0 4 4 0 0 4 0 0 4 4 4 0 4 0 4 4 4 0 0 4 0 0 4 4 4 0 4 0 4 4 4 0 0 4 0 4 0 0 0 4 0 4 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 0 4 4 4 0 4 4 0 0 0 0 0 4 4 0 0 0 4 0 4 4 4 4 4 0 0 4 0 4 4 0 0 4 0 4 0 0 4 0 0 4 4 0 4 0 4 0 0 4 0 4 4 4 0 4 0 4 0 0 0 0 4 0 0 0 0 0 0 4 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 4 4 0 4 0 4 4 4 4 4 0 4 0 4 0 0 4 4 4 4 4 4 0 4 4 4 4 4 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 4 0 0 4 4 0 0 0 0 0 4 0 0 0 0 0 4 0 4 0 4 0 4 0 4 4 4 0 0 4 0 4 4 4 4 4 4 4 0 0 0 0 0 0 4 4 4 0 0 0 4 0 4 4 0 0 4 0 0 4 4 4 4 4 0 4 4 4 4 4 0 4 0 0 4 4 0 4 0 0 4 0 4 4 0 0 0 0 0 4 0 0 0 4 0 0 4 0 0 4 4 4 4 0 4 0 4 4 0 4 0 0 4 4 4 0 4 4 4 0 0 0 0 0 4 4 4 0 0 4 4 4 4 0 0 0 0 4 0 4 0 0 4 4 4 4 0 4 0 0 4 4 0 4 4 0 4 0 4 0 0 4 0 0 0 0 0 0 4 0 0 4 0 4 0 4 0 0 0 4 0 0 0 4 4 4 4 4 0 0 4 0 4 0 0 0 4 4 4 4 0 4 4 4 0 0 0 4 4 0 0 4 0 4 4 0 0 0 4 4 0 0 0 0 4 0 4 4 4 4 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 4 0 0 4 4 4 0 0 4 4 4 4 0 0 4 0 0 0 0 4 4 0 0 4 0 4 4 4 0 0 0 4 0 0 4 4 4 0 0 4 0 4 0 0 0 4 4 0 0 0 0 4 0 0 4 4 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0 4 4 4 0 0 4 4 4 4 4 0 4 0 4 0 4 4 0 4 0 4 4 4 0 4 4 4 0 4 0 4 4 4 4 4 4 4 0 4 4 0 4 0 0 0 0 4 4 0 0 0 4 0 4 4 0 4 4 0 4 0 0 0 0 0 0 4 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+72x^68+6x^70+152x^72+72x^74+455x^76+612x^78+419x^80+72x^82+81x^84+6x^86+58x^88+26x^92+10x^96+4x^100+1x^108+1x^132 The gray image is a code over GF(2) with n=312, k=11 and d=136. This code was found by Heurico 1.16 in 0.621 seconds.