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

generates a code of length 30 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+116x^54+1944x^60+88x^63+36x^72+2x^90

The gray image is a code over GF(3) with n=270, k=7 and d=162.
This code was found by Heurico 1.16 in 0.147 seconds.