The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^25+111x^26+132x^27+174x^28+152x^29+142x^30+172x^31+186x^32+188x^33+175x^34+156x^35+107x^36+104x^37+77x^38+52x^39+41x^40+14x^41+6x^42+3x^44+1x^46

The gray image is a code over GF(2) with n=64, k=11 and d=25.
This code was found by Heurico 1.16 in 0.534 seconds.