The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^24+32x^25+112x^26+114x^27+139x^28+160x^29+142x^30+200x^31+153x^32+224x^33+134x^34+156x^35+128x^36+96x^37+111x^38+40x^39+36x^40+10x^42+2x^43+5x^44+2x^46+1x^54

The gray image is a code over GF(2) with n=64, k=11 and d=24.
This code was found by Heurico 1.16 in 0.209 seconds.