The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  1 24  1  1 21  1  1  1  1  1  1  9 12  1  1  1  1  1  1  6  9  1  1  1  1  1 12  1  1  6  1  1  1  3  1  1
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21 16 20 24  1 19 23  1  9 12 16 13  8 11  1  1  6  9 10  7  5  8  1  1 11  5 14 12 13  1  6 10  1 14 26  8 15  2  2
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  0 18  0 18  9  9  9  0 18  0  9 18  9  0  9  0 18  0  9 18  9  0  9  0  9 18  0  9  0 18  9  0 18 18 18 18  9  9  0

generates a code of length 55 over Z27 who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+1140x^108+702x^111+270x^114+66x^117+6x^126+2x^135

The gray image is a code over GF(3) with n=495, k=7 and d=324.
This code was found by Heurico 1.16 in 21.1 seconds.