The generator matrix

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

generates a code of length 32 over Z4 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+57x^22+72x^23+203x^24+178x^25+302x^26+428x^27+483x^28+512x^29+629x^30+896x^31+729x^32+724x^33+668x^34+680x^35+459x^36+336x^37+344x^38+216x^39+147x^40+42x^41+46x^42+12x^43+25x^44+1x^46+1x^52+1x^54

The gray image is a code over GF(2) with n=64, k=13 and d=22.
This code was found by Heurico 1.16 in 3.05 seconds.