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  X  X  0  1  X  X  0  1  1  X  X  3  X  1  1  X  X  X  3  1  X  1  X  1  1
 0  X 2X  0 X+6 2X  3 X+6 2X+3  3 X+3 2X+3  3 X+3 2X  0  X 2X+3  6  6 X+6 X+3 2X+6 2X+6  6  X 2X+6  0 X+6 2X X+6 2X  X  0 X+6 2X  X  3  3 X+3 2X+3  X X+3 X+6 2X+6  6 2X+6  0  X X+6  6 2X+3  0  6  6
 0  0  3  3  6  6  6  3  0  3  0  3  0  3  0  6  6  6  0  3  0  6  3  6  6  3  0  0  6  0  6  0  3  6  3  3  0  3  6  0  6  6  3  3  6  6  6  6  3  0  3  6  3  3  6

generates a code of length 55 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+416x^108+134x^111+154x^114+18x^117+4x^120+2x^123

The gray image is a code over GF(3) with n=495, k=6 and d=324.
This code was found by Heurico 1.16 in 4.85 seconds.