The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  3  9 21 24  6 18 12 15  0  9 21 12 18  3 24  6 15

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

Homogenous weight enumerator: w(x)=1x^0+240x^36+2x^54

The gray image is a code over GF(3) with n=162, k=5 and d=108.
This code was found by Heurico 1.16 in 0.00101 seconds.