The generator matrix 1 0 0 0 0 1 1 1 2 0 1 1 0 1 0 1 2 0 2 2 0 1 1 1 1 2 2 2 0 0 1 0 0 0 0 0 0 0 0 1 2 2 1 1 0 1 1 1 1 2 3 2 1 1 1 2 0 1 0 0 1 0 0 0 1 1 1 2 0 2 0 0 2 1 1 1 2 0 0 1 3 2 1 1 0 1 0 0 0 0 1 0 1 0 1 3 2 2 1 1 3 1 2 1 0 1 1 1 0 2 0 1 3 1 1 1 0 0 0 0 1 1 3 2 1 1 1 0 1 1 2 0 0 2 2 3 2 1 3 0 1 2 1 1 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 generates a code of length 29 over Z4 who´s minimum homogenous weight is 22. Homogenous weight enumerator: w(x)=1x^0+49x^22+80x^23+144x^24+168x^25+161x^26+174x^27+133x^28+194x^29+188x^30+192x^31+190x^32+124x^33+98x^34+62x^35+43x^36+26x^37+15x^38+4x^39+1x^40+1x^42 The gray image is a code over GF(2) with n=58, k=11 and d=22. This code was found by Heurico 1.10 in 0.063 seconds.