The generator matrix

 1  0  1  3  1  6  1  1  1
 0  1  3  1  6  1  7  4  1

generates a code of length 9 over Z9 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+78x^18+2x^27

The gray image is a code over GF(3) with n=27, k=4 and d=18.
This code was found by Heurico 1.16 in 0.000143 seconds.