The generator matrix

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

generates a code of length 55 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+452x^99+1242x^100+3990x^101+6216x^102+10728x^103+14310x^104+20722x^105+29646x^106+35742x^107+43346x^108+57372x^109+60342x^110+58110x^111+60030x^112+47196x^113+34994x^114+23400x^115+12588x^116+6098x^117+3096x^118+1182x^119+318x^120+108x^121+72x^122+72x^123+18x^124+18x^125+14x^126+12x^127+6x^128

The gray image is a code over GF(3) with n=495, k=12 and d=297.
This code was found by Heurico 1.16 in 384 seconds.