The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 1 1 2 2 2 1 1 1 0 1 0 0 0 1 1 1 0 2 3 3 1 3 0 1 0 1 2 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 2 2 1 1 0 2 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 2 3 0 1 3 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 0 2 2 2 0 generates a code of length 21 over Z4 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+50x^12+12x^13+198x^14+184x^15+355x^16+396x^17+647x^18+948x^19+796x^20+980x^21+788x^22+1012x^23+666x^24+388x^25+366x^26+156x^27+170x^28+16x^29+46x^30+4x^31+10x^32+3x^34 The gray image is a code over GF(2) with n=42, k=13 and d=12. This code was found by Heurico 1.16 in 0.957 seconds.