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

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

Homogenous weight enumerator: w(x)=1x^0+414x^104+1258x^105+2022x^106+3948x^107+4982x^108+6510x^109+10500x^110+13744x^111+13560x^112+17382x^113+21624x^114+17682x^115+19626x^116+16838x^117+10446x^118+8028x^119+4404x^120+2118x^121+1098x^122+446x^123+132x^124+150x^125+94x^126+18x^127+66x^128+32x^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 55.2 seconds.