The generator matrix 1 1 1 1 1 1 1 1 2 2 2 1 4 1 4 2 1 2 1 1 0 12 0 4 0 0 4 12 0 4 12 0 4 4 8 12 4 4 0 0 0 0 12 4 0 12 4 0 12 4 0 8 4 4 4 0 4 4 8 0 0 0 0 8 0 0 0 0 0 0 0 0 8 8 0 0 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 8 0 8 8 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 8 8 0 0 8 8 0 8 8 8 8 0 0 0 0 0 0 0 8 0 8 0 8 8 8 8 0 8 0 0 8 0 0 0 0 0 0 0 0 8 8 8 8 8 0 8 8 0 0 8 8 generates a code of length 20 over Z16 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+28x^12+26x^13+130x^14+168x^15+324x^16+624x^17+1376x^18+3272x^19+4416x^20+3284x^21+1476x^22+632x^23+324x^24+160x^25+80x^26+24x^27+20x^28+2x^29+10x^30+7x^32 The gray image is a code over GF(2) with n=160, k=14 and d=48. This code was found by Heurico 1.16 in 0.723 seconds.