The generator matrix

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

generates a code of length 29 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+330x^54+1458x^58+324x^60+36x^63+36x^72+2x^81

The gray image is a code over GF(3) with n=261, k=7 and d=162.
This code was found by Heurico 1.16 in 1.14 seconds.