The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 0 0 2 1 2 2 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 2 1 1 2 0 0 0 1 0 0 0 0 0 1 1 2 3 1 2 3 1 2 1 2 3 3 0 0 0 0 1 0 0 0 1 0 2 3 1 1 3 2 0 3 2 2 3 0 0 0 0 0 0 1 0 0 1 2 3 3 2 1 1 0 3 1 3 1 0 2 0 0 0 0 0 0 1 0 1 3 2 0 0 3 2 2 3 0 3 1 2 2 1 0 0 0 0 0 0 1 2 1 2 3 0 3 1 3 3 2 0 0 1 2 0 generates a code of length 22 over Z4 who´s minimum homogenous weight is 13. Homogenous weight enumerator: w(x)=1x^0+44x^13+131x^14+272x^15+452x^16+644x^17+875x^18+1218x^19+1605x^20+1872x^21+2015x^22+1878x^23+1631x^24+1388x^25+967x^26+622x^27+397x^28+204x^29+106x^30+42x^31+8x^32+8x^33+2x^34+2x^36 The gray image is a code over GF(2) with n=44, k=14 and d=13. This code was found by Heurico 1.10 in 2.16 seconds.