The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^22+152x^23+290x^24+430x^25+580x^26+792x^27+901x^28+1062x^29+1390x^30+1564x^31+1596x^32+1664x^33+1496x^34+1276x^35+1026x^36+800x^37+492x^38+284x^39+256x^40+130x^41+52x^42+28x^43+25x^44+10x^45+6x^46+1x^48

The gray image is a code over GF(2) with n=64, k=14 and d=22.
This code was found by Heurico 1.16 in 22.1 seconds.