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

generates a code of length 57 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+618x^105+18x^107+1274x^108+54x^109+684x^110+1716x^111+972x^112+2538x^113+4002x^114+1782x^115+2520x^116+1818x^117+108x^118+72x^119+654x^120+510x^123+226x^126+114x^129+2x^153

The gray image is a code over GF(3) with n=513, k=9 and d=315.
This code was found by Heurico 1.16 in 8.94 seconds.