The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 0 0 0 2 2 0 0 2 1 1 0 1 0 1 2 0 1 0 1 0 1 1 0 2 1 3 1 1 0 1 1 0 2 1 1 0 0 2 0 2 3 1 0 2 0 0 1 1 1 0 1 0 1 3 2 0 1 1 0 2 1 1 1 3 1 1 2 3 1 2 0 2 1 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 2 0 0 0 2 0 0 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 0 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 0 2 2 2 2 0 2 2 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+81x^22+56x^23+122x^24+160x^25+152x^26+184x^27+144x^28+224x^29+179x^30+200x^31+175x^32+128x^33+84x^34+72x^35+64x^36+11x^38+6x^40+4x^42+1x^46 The gray image is a code over GF(2) with n=58, k=11 and d=22. This code was found by Heurico 1.16 in 0.201 seconds.