The generator matrix

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

generates a code of length 53 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+288x^96+252x^97+414x^98+1684x^99+1512x^100+1998x^101+3816x^102+3924x^103+4824x^104+7494x^105+5724x^106+6336x^107+7046x^108+4536x^109+3618x^110+2738x^111+1476x^112+306x^113+534x^114+72x^115+330x^117+104x^120+18x^123+2x^126+2x^129

The gray image is a code over GF(3) with n=477, k=10 and d=288.
This code was found by Heurico 1.16 in 7.5 seconds.