The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^18+4x^20+14x^22+3x^24

The gray image is a code over GF(2) with n=38, k=6 and d=18.
This code was found by Heurico 1.16 in 0.00115 seconds.