The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+101x^18+126x^20+92x^22+94x^24+58x^26+34x^28+4x^30+1x^32+1x^34

The gray image is a code over GF(2) with n=44, k=9 and d=18.
This code was found by Heurico 1.16 in 1.53 seconds.