The generator matrix

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

generates a code of length 55 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+534x^104+1122x^105+1674x^106+2292x^107+1890x^108+1446x^109+2286x^110+1970x^111+1404x^112+1704x^113+1196x^114+858x^115+774x^116+362x^117+114x^118+6x^119+16x^120+12x^121+6x^122+4x^123+6x^125+6x^128

The gray image is a code over GF(3) with n=495, k=9 and d=312.
This code was found by Heurico 1.16 in 0.695 seconds.