The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1 2X  1  1  1  6  1  1  1 X+6  1  1  1 2X+6  1  1  1  0  1  1  1 X+3  1  1  1  1  6 X+6  1 2X+3  1  1  3  X  1  1  1  1  1  1  1 2X 2X+6  1  1
 0  1 2X+4  8 X+3 X+1 X+2  1 2X  4 2X+8  1  6 2X+7  5  1 X+6 X+7 X+5  1 2X+6  7 2X+5  1  3 2X+1  2  1 X+3 2X X+1  1 X+8  1 X+6 X+7  1  1 2X+6  1  X 2X+3  1  1 X+4 2X+4 2X+7  0  6  4  7  1  1  3  X

generates a code of length 55 over Z9[X]/(X^2+3,3X) 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 2.8 seconds.