The generator matrix

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

generates a code of length 31 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+264x^24+444x^26+640x^28+672x^30+769x^32+630x^34+438x^36+166x^38+62x^40+6x^42+2x^44+2x^46

The gray image is a code over GF(2) with n=62, k=12 and d=24.
This code was found by Heurico 1.16 in 11.8 seconds.