The generator matrix

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

generates a code of length 55 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+306x^105+618x^106+486x^107+1288x^108+642x^109+522x^110+590x^111+438x^112+426x^113+730x^114+384x^115+18x^116+64x^117+6x^120+12x^121+6x^122+2x^123+6x^124+6x^126+6x^127+4x^129

The gray image is a code over GF(3) with n=495, k=8 and d=315.
This code was found by Heurico 1.16 in 0.144 seconds.