The generator matrix

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

generates a code of length 56 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+516x^102+852x^103+1800x^104+4236x^105+5022x^106+7116x^107+10490x^108+12186x^109+14430x^110+18388x^111+19146x^112+19662x^113+20372x^114+15942x^115+10668x^116+8544x^117+3876x^118+1974x^119+1142x^120+216x^121+156x^122+148x^123+96x^124+72x^125+60x^126+12x^127+12x^128+12x^129

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 56.1 seconds.