The generator matrix

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

generates a code of length 32 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+52x^24+80x^26+129x^28+172x^30+164x^32+188x^34+110x^36+68x^38+38x^40+4x^42+17x^44+1x^48

The gray image is a code over GF(2) with n=64, k=10 and d=24.
This code was found by Heurico 1.16 in 0.0626 seconds.