The generator matrix

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

generates a code of length 55 over Z9[X]/(X^2+6,3X) 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 2.62 seconds.