The generator matrix

 1  0  0  0  0  1  1  1  2  0  1  1  2  1  0  1  0  1  0  1  1  2  0  1  1  0  2  0  1  2  1  1
 0  1  0  0  0  0  0  0  0  0  1  2  0  1  1  2  1  1  1  3  2  1  1  1  3  2  1  2  3  1  2  2
 0  0  1  0  0  0  1  1  1  2  1  3  2  3  2  1  3  0  1  0  0  1  1  2  3  1  0  1  0  1  2  3
 0  0  0  1  0  1  1  0  3  2  2  3  1  1  3  0  2  1  1  2  1  0  3  1  3  0  1  3  3  2  1  1
 0  0  0  0  1  1  2  3  1  1  2  1  3  0  0  2  3  3  0  1  3  2  1  2  3  2  0  2  2  0  2  0
 0  0  0  0  0  2  0  2  2  2  2  0  0  0  2  0  0  2  2  2  0  2  0  0  2  2  0  0  2  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+62x^25+106x^26+128x^27+160x^28+150x^29+176x^30+160x^31+175x^32+202x^33+162x^34+148x^35+130x^36+114x^37+60x^38+40x^39+44x^40+16x^41+8x^42+4x^43+2x^44

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 0.229 seconds.