The generator matrix

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

generates a code of length 22 over Z4 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+108x^18+110x^20+108x^22+78x^24+68x^26+34x^28+4x^30+1x^32

The gray image is a code over GF(2) with n=44, k=9 and d=18.
This code was found by Heurico 1.10 in 0 seconds.