The generator matrix

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

generates a code of length 23 over Z4 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+114x^18+226x^20+182x^22+206x^24+158x^26+102x^28+26x^30+9x^32

The gray image is a code over GF(2) with n=46, k=10 and d=18.
This code was found by Heurico 1.10 in 0.016 seconds.