The generator matrix

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

generates a code of length 55 over Z27 who´s minimum homogenous weight is 107.

Homogenous weight enumerator: w(x)=1x^0+348x^107+564x^108+492x^110+296x^111+240x^113+150x^114+54x^116+36x^117+4x^120+2x^135

The gray image is a code over GF(3) with n=495, k=7 and d=321.
This code was found by Heurico 1.16 in 465 seconds.