The generator matrix 1 0 0 0 0 0 1 1 1 1 1 1 0 1 2 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 1 3 2 1 1 0 1 2 0 1 0 0 0 0 1 0 0 0 0 1 1 2 0 1 3 3 1 1 2 1 3 0 0 0 0 0 1 0 0 0 1 1 3 2 0 0 2 3 3 3 2 1 0 0 0 0 0 0 1 0 1 0 1 3 3 2 1 1 3 0 3 1 0 0 0 0 0 0 0 0 1 1 3 2 1 0 2 3 0 1 2 1 0 3 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 0 2 2 2 2 0 0 0 generates a code of length 21 over Z4 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+82x^12+339x^14+776x^16+1209x^18+1627x^20+1731x^22+1315x^24+727x^26+279x^28+86x^30+16x^32+4x^34 The gray image is a code over GF(2) with n=42, k=13 and d=12. This code was found by Heurico 1.10 in 0.476 seconds.