The generator matrix

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

generates a code of length 19 over Z4 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+5x^18+16x^19+6x^20+2x^22+1x^24+1x^26

The gray image is a code over GF(2) with n=38, k=5 and d=18.
This code was found by Heurico 1.16 in 0.0006 seconds.