The generator matrix

 1  1  1  1  1  1  1  1  1  3  3  1  1  1  1  1  1  3
 0  3 24  0 21 24  0 21 24 21 24  0  0  9 18 21 24 21
 0  0  9  0  0  0  0 18  9 18  0  9 18  9  0  9 18  0
 0  0  0  9  0  0  0 18 18 18 18 18  0  9 18  0  9  9
 0  0  0  0 18  0  9 18  9  9 18  0 18  0  9 18 18 18
 0  0  0  0  0  9  9  9  0  9  0  9 18  9 18  0  9  0

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

Homogenous weight enumerator: w(x)=1x^0+82x^27+126x^28+174x^30+432x^31+486x^32+436x^33+2736x^34+1944x^35+5114x^36+4464x^37+1944x^38+570x^39+918x^40+100x^42+72x^43+68x^45+12x^48+4x^51

The gray image is a code over GF(3) with n=162, k=9 and d=81.
This code was found by Heurico 1.16 in 11.8 seconds.