The generator matrix 1 0 0 1 1 1 2 1 1 1 1 2 0 2 1 1 1 1 0 0 1 1 1 1 2 1 2 0 0 2 1 0 1 0 0 1 3 1 0 2 1 3 1 1 2 2 0 3 1 1 1 2 2 0 2 2 1 0 1 2 2 0 0 0 1 1 1 0 1 2 3 3 0 0 3 1 2 0 2 2 2 2 0 0 2 1 1 1 1 3 0 0 1 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 0 2 2 0 0 0 0 0 2 2 0 2 2 0 0 2 2 2 0 2 2 0 0 2 2 0 2 2 2 0 0 0 0 0 0 generates a code of length 31 over Z4 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+82x^28+92x^30+15x^32+22x^34+28x^36+10x^38+2x^42+2x^44+2x^46 The gray image is a code over GF(2) with n=62, k=8 and d=28. This code was found by Heurico 1.16 in 0.0527 seconds.