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

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+1050x^108+972x^111+162x^117+2x^162

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 22.9 seconds.