The generator matrix 1 1 1 1 1 1 1 1 2 2 1 2 4 1 1 1 1 1 1 1 0 2 0 0 0 2 6 2 4 0 0 6 2 0 6 2 0 4 0 0 0 0 2 0 2 2 6 0 0 2 0 2 0 6 2 4 4 4 0 0 0 0 0 2 2 0 6 2 2 2 4 2 2 4 4 4 4 4 4 0 0 0 0 0 4 0 0 0 0 4 4 4 4 0 4 4 0 4 4 0 0 0 0 0 0 4 0 0 4 4 4 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 4 0 4 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 0 0 0 0 4 0 0 generates a code of length 20 over Z8 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+74x^12+188x^14+468x^16+256x^17+808x^18+1792x^19+972x^20+1792x^21+896x^22+256x^23+452x^24+152x^26+74x^28+4x^30+7x^32 The gray image is a code over GF(2) with n=80, k=13 and d=24. This code was found by Heurico 1.16 in 0.481 seconds.