The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  3  3  1  3  3  3  3
 0  9 18  0  9 18  0  9 18  0  9  9 18 18  0  9 18  0

generates a code of length 18 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+74x^36+6x^42

The gray image is a code over GF(3) with n=162, k=4 and d=108.
This code was found by Heurico 1.16 in 0.00095 seconds.