The generator matrix

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

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+468x^102+954x^103+2094x^104+3662x^105+5664x^106+6684x^107+9756x^108+13146x^109+12978x^110+18626x^111+21720x^112+18792x^113+19556x^114+16902x^115+10098x^116+7736x^117+4104x^118+2184x^119+1042x^120+576x^121+84x^122+62x^123+78x^124+48x^125+54x^126+30x^127+12x^128+30x^129+6x^130

The gray image is a code over GF(3) with n=504, k=11 and d=306.
This code was found by Heurico 1.16 in 52.1 seconds.