The generator matrix

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

generates a code of length 57 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 107.

Homogenous weight enumerator: w(x)=1x^0+510x^107+828x^108+504x^109+1686x^110+1664x^111+936x^112+2568x^113+2824x^114+648x^115+2760x^116+2226x^117+684x^118+978x^119+398x^120+144x^121+138x^122+14x^123+60x^125+48x^126+36x^128+6x^129+12x^131+6x^132+2x^138+2x^144

The gray image is a code over GF(3) with n=513, k=9 and d=321.
This code was found by Heurico 1.16 in 3.86 seconds.