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

generates a code of length 57 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+602x^108+270x^110+720x^111+324x^112+1080x^113+804x^114+648x^115+1080x^116+576x^117+144x^120+186x^123+106x^126+18x^129+2x^153

The gray image is a code over GF(3) with n=513, k=8 and d=324.
This code was found by Heurico 1.16 in 48.3 seconds.