The generator matrix

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

generates a code of length 32 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+124x^54+72x^57+264x^60+784x^63+4374x^64+702x^66+48x^69+114x^72+36x^75+12x^78+28x^81+2x^90

The gray image is a code over GF(3) with n=288, k=8 and d=162.
This code was found by Heurico 1.16 in 1.14 seconds.