The generator matrix 1 0 0 0 0 0 0 0 1 1 2 1 1 1 1 1 2 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 3 1 2 1 0 2 2 0 0 0 0 1 0 0 0 0 0 0 1 0 0 3 1 1 3 2 1 2 3 2 0 0 0 0 1 0 0 0 0 1 0 0 0 3 3 1 1 1 2 3 2 2 0 0 0 0 0 1 0 0 0 1 1 2 1 2 2 3 2 2 3 0 0 2 0 0 0 0 0 0 1 0 0 1 2 1 3 0 1 3 3 2 2 2 1 2 0 0 0 0 0 0 0 1 0 1 3 3 2 1 0 3 3 1 2 3 2 1 0 0 0 0 0 0 0 0 1 2 1 3 3 0 0 0 2 2 1 3 0 2 0 generates a code of length 22 over Z4 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+184x^12+178x^13+827x^14+700x^15+1968x^16+2466x^17+3898x^18+5024x^19+6072x^20+8132x^21+6910x^22+7704x^23+5964x^24+5332x^25+3961x^26+2304x^27+2016x^28+778x^29+775x^30+140x^31+179x^32+10x^33+12x^34+1x^42 The gray image is a code over GF(2) with n=44, k=16 and d=12. This code was found by Heurico 1.10 in 28.4 seconds.