The generator matrix 1 0 0 0 0 0 0 1 1 1 1 0 1 1 2 0 2 0 1 1 2 2 1 1 1 2 1 2 1 0 1 0 0 0 0 0 2 1 3 1 1 0 2 1 2 1 2 3 1 1 0 0 0 3 2 1 2 2 0 0 1 0 0 0 0 0 0 0 0 2 1 1 3 1 3 1 2 2 1 1 0 1 3 1 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 3 3 3 1 1 1 1 2 1 2 1 0 0 0 0 1 0 0 1 3 2 2 3 1 0 3 1 0 0 3 1 1 2 3 0 0 2 1 2 2 0 0 0 0 0 1 0 1 2 3 0 1 2 2 3 2 0 1 0 2 0 3 2 3 0 1 1 1 3 0 0 0 0 0 0 1 1 0 0 3 3 2 3 3 1 1 2 2 1 3 1 2 3 2 3 1 1 1 generates a code of length 29 over Z4 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+226x^20+794x^22+1455x^24+2424x^26+3190x^28+3300x^30+2665x^32+1464x^34+606x^36+194x^38+47x^40+16x^42+2x^44 The gray image is a code over GF(2) with n=58, k=14 and d=20. This code was found by Heurico 1.16 in 20.9 seconds.