The generator matrix

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

generates a code of length 32 over Z4 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+62x^25+116x^26+112x^27+155x^28+170x^29+152x^30+180x^31+192x^32+164x^33+174x^34+172x^35+101x^36+100x^37+92x^38+44x^39+31x^40+14x^41+10x^42+4x^43+2x^45

The gray image is a code over GF(2) with n=64, k=11 and d=25.
This code was found by Heurico 1.10 in 0.078 seconds.