The generator matrix

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

generates a code of length 57 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+848x^108+1092x^109+900x^110+2760x^111+2046x^112+990x^113+3008x^114+1926x^115+834x^116+1996x^117+1146x^118+414x^119+1104x^120+426x^121+96x^122+64x^123+6x^124+8x^126+6x^128+6x^129+6x^132

The gray image is a code over GF(3) with n=513, k=9 and d=324.
This code was found by Heurico 1.16 in 0.729 seconds.