The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 4 0 2 4 2 4 4 2 1 1 4 1 2 0 0 2 0 0 0 2 6 2 0 0 4 2 4 2 6 2 2 4 2 4 2 2 2 2 2 2 4 2 2 4 4 2 0 0 2 0 2 2 6 0 0 4 2 2 2 6 4 0 0 4 6 4 2 4 4 4 2 0 2 2 4 0 0 0 0 0 0 2 2 0 6 2 4 2 2 0 4 6 0 2 6 6 0 2 4 6 6 6 0 2 4 6 0 4 2 4 0 0 0 0 4 0 0 0 0 0 0 4 4 4 0 4 0 4 4 4 0 0 0 4 4 4 4 0 4 0 0 4 0 0 0 0 0 4 0 4 4 0 4 4 0 4 4 4 0 4 4 0 0 0 4 4 0 0 4 4 0 0 4 4 0 0 0 0 0 0 4 4 0 4 4 4 0 4 4 0 4 4 0 0 4 0 0 0 0 0 0 4 4 4 0 4 generates a code of length 32 over Z8 who´s minimum homogenous weight is 25. Homogenous weight enumerator: w(x)=1x^0+58x^25+156x^26+174x^27+174x^28+330x^29+475x^30+486x^31+429x^32+470x^33+510x^34+298x^35+150x^36+142x^37+132x^38+66x^39+10x^40+24x^41+6x^42+4x^44+1x^46 The gray image is a code over GF(2) with n=128, k=12 and d=50. This code was found by Heurico 1.16 in 13.8 seconds.