The generator matrix

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

generates a code of length 18 over Z27 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+104x^27+126x^30+450x^33+5142x^36+558x^39+90x^42+72x^45+18x^48

The gray image is a code over GF(3) with n=162, k=8 and d=81.
This code was found by Heurico 1.16 in 8.82 seconds.