The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 0 2 1 1 1 1 1 1 1 1 0 0 1 2 1 1 1 0 1 1 0 1 1 0 1 1 2 3 1 1 1 0 0 0 3 3 3 1 2 1 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 2 2 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 2 0 0 2 2 0 2 0 0 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 0 0 2 0 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 generates a code of length 29 over Z4 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+73x^20+38x^22+289x^24+228x^26+417x^28+336x^30+329x^32+156x^34+148x^36+10x^38+21x^40+1x^44+1x^52 The gray image is a code over GF(2) with n=58, k=11 and d=20. This code was found by Heurico 1.16 in 0.184 seconds.