The generator matrix

 1  0  1  1  1  1 X+3  1  1 2X  1  1  1  0  1  1 2X  1  1  1  1  1  1  X  1  1  3  1  1  1  1  1  X  1  1  1  1  6  1  1  1  1  1  1  1 2X+6 2X+6  1  1  1  1  1  3  6 2X  1  X
 0  1  1  8 X+3 X+2  1 2X+4 2X  1 2X+8 X+1  0  1  2  1  1 X+3 2X+4  8 2X+8 X+4  X  1 2X+2  3  1 2X+1 X+2 X+1  X  1  1 2X+8  2  4 X+2  1 2X+3 2X+4 X+1 2X  0  3  8  1  1 2X+2 2X+4 2X+8 2X+3 2X+8  1  6  1  2  6
 0  0 2X  0  0  3  3  3  6  0  0  3 2X+6 2X+3 X+3 X+3 2X+6 2X+6 2X+6 2X 2X  X X+3 X+3 X+3  X  X  X 2X  3 X+3  X X+6 2X  X  6 2X+3  3 X+6 2X+3 2X+6 2X+6 2X X+3  3 2X+6  3  3  6 X+6  0 X+3 2X+6  X  0 2X+3 2X+3
 0  0  0  6  0  0  0  3  0  0  3  6  0  0  3  3  3  3  6  6  3  6  0  0  6  3  0  6  3  6  0  3  3  0  6  3  0  3  3  6  0  3  6  6  3  3  3  3  0  0  6  0  3  3  0  6  0
 0  0  0  0  3  3  6  6  6  3  6  0  3  0  6  3  6  3  6  6  0  6  6  0  6  6  6  3  3  3  3  0  0  3  0  3  6  0  0  0  6  0  0  3  0  3  3  3  0  3  3  0  0  6  0  6  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+276x^104+508x^105+216x^106+1506x^107+2208x^108+1620x^109+3204x^110+5502x^111+4212x^112+5376x^113+8262x^114+5454x^115+5130x^116+6992x^117+2916x^118+2586x^119+1792x^120+162x^121+576x^122+152x^123+180x^125+74x^126+114x^128+10x^129+4x^132+6x^134+4x^135+4x^138+2x^141

The gray image is a code over GF(3) with n=513, k=10 and d=312.
This code was found by Heurico 1.16 in 8.77 seconds.