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

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

Homogenous weight enumerator: w(x)=1x^0+126x^96+258x^97+138x^98+326x^99+684x^100+492x^101+772x^102+1944x^103+1074x^104+1588x^105+4500x^106+1926x^107+1630x^108+2142x^109+546x^110+292x^111+276x^112+132x^113+232x^114+246x^115+60x^116+86x^117+126x^118+6x^119+30x^120+30x^121+16x^123+2x^129+2x^138

The gray image is a code over GF(3) with n=477, k=9 and d=288.
This code was found by Heurico 1.16 in 1.64 seconds.