The generator matrix 1 0 0 1 1 1 6 1 1 6 0 1 1 0 1 6 1 6 1 1 2 2 1 0 4 1 1 1 1 1 1 1 0 1 0 0 1 3 1 2 7 6 1 3 4 1 1 1 6 1 0 6 1 6 4 2 1 5 1 5 6 5 3 5 0 0 1 1 1 0 1 2 3 1 3 0 1 4 3 0 6 7 7 1 3 1 2 1 2 0 4 6 5 1 3 5 0 0 0 2 6 4 6 0 6 2 0 2 0 2 4 0 6 2 2 4 0 4 4 2 6 2 6 0 6 0 6 4 0 0 0 0 4 0 0 4 0 4 4 4 4 4 4 4 4 4 4 0 0 4 4 0 0 0 0 4 0 0 4 0 generates a code of length 32 over Z8 who´s minimum homogenous weight is 27. Homogenous weight enumerator: w(x)=1x^0+142x^27+321x^28+438x^29+424x^30+450x^31+576x^32+498x^33+442x^34+350x^35+237x^36+146x^37+28x^38+14x^39+15x^40+6x^41+2x^42+4x^43+2x^44 The gray image is a code over GF(2) with n=128, k=12 and d=54. This code was found by Heurico 1.16 in 0.433 seconds.