The generator matrix

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

generates a code of length 23 over Z4 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+85x^20+58x^22+51x^24+28x^26+19x^28+10x^30+4x^32

The gray image is a code over GF(2) with n=46, k=8 and d=20.
This code was found by Heurico 1.16 in 0.0142 seconds.