The generator matrix

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

generates a code of length 15 over Z27 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+104x^18+210x^21+102x^24+338x^27+18102x^30+336x^33+276x^36+156x^39+48x^42+10x^45

The gray image is a code over GF(3) with n=135, k=9 and d=54.
This code was found by Heurico 1.16 in 0.255 seconds.