The generator matrix

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

generates a code of length 57 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+600x^104+912x^105+1962x^106+4440x^107+4556x^108+7074x^109+10638x^110+11286x^111+15948x^112+18324x^113+18114x^114+20844x^115+19794x^116+14136x^117+11880x^118+8670x^119+3726x^120+2034x^121+1320x^122+378x^123+36x^124+246x^125+90x^126+96x^128+18x^129+24x^131

The gray image is a code over GF(3) with n=513, k=11 and d=312.
This code was found by Heurico 1.16 in 57.3 seconds.