The generator matrix

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

generates a code of length 56 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+198x^102+180x^103+462x^104+1622x^105+1722x^106+2298x^107+3516x^108+3942x^109+4380x^110+6884x^111+6540x^112+6624x^113+7040x^114+5508x^115+3102x^116+2566x^117+876x^118+510x^119+464x^120+114x^121+78x^122+194x^123+42x^124+36x^125+100x^126+24x^127+6x^128+14x^129+6x^130

The gray image is a code over GF(3) with n=504, k=10 and d=306.
This code was found by Heurico 1.16 in 7.85 seconds.