The generator matrix

1 0 0 0 1 1 1 0 2 1 1 1 0 1 0 1 1 2 0 2 2 1 0 2 1 0 1 2 2 0 1 0
0 1 0 0 0 0 2 2 1 1 1 1 1 3 2 1 0 0 1 1 2 0 1 0 3 2 2 2 1 1 2 2
0 0 1 0 0 1 1 1 0 1 3 2 1 2 0 3 3 1 1 1 1 2 0 2 0 2 1 2 3 1 3 1
0 0 0 1 1 2 1 3 1 0 1 3 2 0 1 2 3 0 2 3 0 1 0 1 3 1 3 1 3 0 2 1
0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 0 0 2 0 0

generates a code of length 32 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+147x^28+80x^30+117x^32+32x^34+88x^36+16x^38+26x^40+5x^44

The gray image is a code over GF(2) with n=64, k=9 and d=28.
This code was found by Heurico 1.10 in 0.969 seconds.