The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  0  1  0  1  1  1  1  1  X  1  1  1  1  1  X
 0  X  0  0 2X X+6 2X+6  X 2X X+6  6  0 X+6 2X+6  3 2X+6 2X+6 X+3  3 X+3 X+6  6 2X  6 2X+3 2X X+6 2X+3  0 2X 2X+6  3 X+6  X  X  3  0  X 2X+6  X  X  3  0 X+6  X  6 2X+3  6 X+3 X+3 2X+6 2X  0 2X  X X+6  X
 0  0  X 2X  0 2X+3 X+3  X 2X+3 2X+6  X  6 X+3 X+3 2X  0 2X+6  3  0  X 2X X+6 2X+3  X  6 2X+6  0 X+3 2X+6 X+6 2X 2X+6  3 X+3 2X  6 X+3 2X+6  0 2X  3 2X+6  X  3 2X 2X  6 2X  6  X X+6 2X  3  X X+3  3  X
 0  0  0  3  0  0  6  0  0  3  6  3  6  3  6  3  6  6  6  3  6  0  6  6  0  3  3  3  0  0  0  6  0  6  0  0  3  0  3  6  3  6  6  3  0  0  3  3  3  3  6  3  0  6  3  3  6
 0  0  0  0  3  6  0  3  6  0  6  3  0  0  0  3  6  0  3  3  0  3  0  3  6  6  6  3  6  3  3  6  6  6  0  3  0  3  0  3  0  3  3  0  3  3  6  3  3  6  0  0  6  3  0  6  0

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+264x^104+238x^105+576x^107+452x^108+1260x^110+1030x^111+1458x^112+2778x^113+3136x^114+2916x^115+2700x^116+1192x^117+492x^119+246x^120+378x^122+130x^123+216x^125+106x^126+66x^128+16x^129+18x^131+6x^132+4x^135+2x^138+2x^156

The gray image is a code over GF(3) with n=513, k=9 and d=312.
This code was found by Heurico 1.16 in 1.91 seconds.