The generator matrix

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

generates a code of length 9 over Z4 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+132x^6+78x^8+232x^10+48x^12+20x^14+1x^16

The gray image is a code over GF(2) with n=18, k=9 and d=6.
This code was found by Heurico 1.10 in 0.156 seconds.