The generator matrix
1 0 0 1 1 1 2 1 1 2 1 1 0 2 1 1 1 1 2 2 0 0 1 1 1 1 0 2 1
0 1 0 2 1 3 1 0 2 0 1 3 1 1 3 1 3 1 1 1 1 1 2 0 2 0 2 2 0
0 0 1 1 3 2 1 2 3 1 1 0 2 3 3 2 1 0 2 0 3 1 2 3 0 1 1 1 0
generates a code of length 29 over Z4 who´s minimum homogenous weight is 28.
Homogenous weight enumerator: w(x)=1x^0+12x^28+32x^29+12x^30+3x^32+4x^34
The gray image is a code over GF(2) with n=58, k=6 and d=28.
This code was found by Heurico 1.16 in 0.00348 seconds.