The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+20x^22+68x^23+172x^24+264x^25+322x^26+394x^27+494x^28+556x^29+620x^30+720x^31+755x^32+782x^33+757x^34+644x^35+503x^36+388x^37+285x^38+204x^39+107x^40+56x^41+37x^42+18x^43+15x^44+7x^46+1x^48+2x^49

The gray image is a code over GF(2) with n=64, k=13 and d=22.
This code was found by Heurico 1.10 in 1.25 seconds.