The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  9  1  1  1 12  1  1  1  6  1  1  1  0  1  1  1 21  1  1  1  1  9 12  1 15  1  1 18  3  1  1  1  1  1  1  1 24  6  1  1
 0  1 16 26 21  4 20  1 24 19 23  1  9  7  8  1 12 13 11  1  6 10  5  1 18 25 17  1 21 24  4  1  2  1 12 13  1  1  6  1  3 15  1  1 22 16  7  0  9 19 10  1  1 18  3

generates a code of length 55 over Z27 who´s minimum homogenous weight is 109.

Homogenous weight enumerator: w(x)=1x^0+312x^109+252x^110+156x^112+2x^114+4x^120+2x^141

The gray image is a code over GF(3) with n=495, k=6 and d=327.
This code was found by Heurico 1.16 in 2.59 seconds.