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

generates a code of length 55 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+96x^97+138x^99+324x^100+132x^102+450x^103+324x^104+254x^105+1128x^106+1944x^107+572x^108+2646x^109+3888x^110+482x^111+2754x^112+2592x^113+304x^114+768x^115+174x^117+378x^118+22x^120+144x^121+28x^123+60x^124+40x^126+10x^129+8x^132+16x^135+2x^138+4x^144

The gray image is a code over GF(3) with n=495, k=9 and d=291.
This code was found by Heurico 1.16 in 42.3 seconds.