The generator matrix

 1  0  0  1  1  1  1  1  1  3  1  1 X+3  1  X 2X+3  1  1  1  1  6  1  1  1  6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 2X+6 2X  X  0  1  1  1  1  1  1  1  X  1 X+3  1  1  1
 0  1  0  3  1  4  2  X  8  1 2X+4 2X+2  1 X+3  1 2X+6  6 X+6  2 2X+7 2X+6 2X X+2 X+8  1 X+1  0 X+7 X+5 2X+1 2X+5 2X+3 X+4  4 2X+1 X+6 2X+2 2X+6  8  2  1  3  1  1 2X+1 X+1 2X+8 X+5 2X+7  6 2X+8  1  4 2X X+8 X+4  6
 0  0  1 2X+4 2X+1  3 X+8 X+5 2X+6  4 2X+2  4  2 2X X+6  1  7 2X+8  5  2  1 X+3  4 2X+6 2X+7 X+7 2X+5 2X+2 X+4 2X  5  0  6  8 2X+1  7 X+6 X+5  X X+1  3  1 2X+8  2  X  8 2X+3 X+2  6 2X X+2 2X+3 X+5  1  0  4 X+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+656x^108+960x^109+2022x^110+1888x^111+1902x^112+1920x^113+2032x^114+1440x^115+1932x^116+1418x^117+1212x^118+888x^119+870x^120+306x^121+186x^122+2x^123+12x^125+16x^126+6x^127+6x^128+2x^129+6x^130

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 0.726 seconds.