The generator matrix

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

generates a code of length 23 over Z4 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+30x^22+30x^24+2x^30+1x^32

The gray image is a code over GF(2) with n=46, k=6 and d=22.
This code was found by Heurico 1.16 in 0.00176 seconds.