The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+168x^24+250x^26+579x^28+612x^30+865x^32+664x^34+543x^36+252x^38+132x^40+14x^42+13x^44+2x^48+1x^52

The gray image is a code over GF(2) with n=64, k=12 and d=24.
This code was found by Heurico 1.16 in 0.915 seconds.