The generator matrix

 1  0  1  1  1  1  1 2X^2+X 2X  1  1  1  1  0  1  1  1  1 2X  1  X  1  1  1  1  1 2X^2+2X  1  1  1  1  1  1 X^2+2X  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 X^2+2X  1  1  1
 0  1  1  2 2X^2+2X+1 2X^2 2X^2+2  1  1 2X^2+X X+1 2X^2+X+2  0  1  1 2X+2 2X+1 2X^2+2X  1 X+2  1  X  2 2X^2+2X+1 2X 2X+2  1 2X^2+1 2X^2+X 2X^2+2X+2  X  1  0  1 2X^2+X+2  1 2X+2 2X^2+1 2X^2+2X+1 2X+1 X^2+2 2X+2 2X^2+2X+2 X^2+1  0 X^2+X+2 X^2+X+1 2X X^2+2 X^2+2X 2X  1 2X 2X^2+2 2X^2
 0  0 2X  0  0 2X^2+X 2X^2+X 2X^2  0 2X^2 2X^2 X^2 X^2+2X 2X^2+2X  X X^2 2X^2+X  X X^2+2X  X X^2+X 2X^2+X X^2+2X 2X 2X^2+2X 2X  X X^2 2X^2+2X  X  X 2X^2+X 2X^2+2X  X 2X^2+2X  0 X^2 2X  0 X^2+X 2X X^2+2X  X 2X  0 X^2 X^2+2X 2X^2  0 2X^2+2X X^2+2X  0  X 2X^2+X X^2+X
 0  0  0 X^2  0 2X^2  0 2X^2 X^2 X^2  0 2X^2  0 X^2 2X^2  0 X^2 X^2 X^2  0 X^2 X^2 2X^2  0 2X^2  0 X^2 2X^2 2X^2 2X^2  0 2X^2  0 2X^2 X^2 2X^2  0  0 X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2 X^2 2X^2 2X^2 2X^2 2X^2 X^2 2X^2 X^2 X^2  0
 0  0  0  0 2X^2  0  0  0  0 2X^2 X^2  0  0 2X^2 X^2 X^2 2X^2 2X^2 X^2 X^2 2X^2  0 2X^2 X^2 X^2 2X^2 X^2 2X^2  0  0 2X^2 2X^2 2X^2 X^2  0 X^2  0 2X^2 2X^2 X^2 X^2  0 2X^2 2X^2  0 X^2 X^2 2X^2 X^2 2X^2  0 X^2 X^2  0  0

generates a code of length 55 over Z3[X]/(X^3) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+72x^99+78x^100+378x^101+642x^102+1098x^103+1452x^104+2160x^105+3540x^106+3414x^107+4778x^108+8688x^109+5112x^110+6438x^111+8922x^112+4236x^113+3414x^114+2238x^115+1224x^116+436x^117+120x^118+144x^119+192x^120+54x^121+54x^122+74x^123+36x^124+24x^125+10x^126+6x^127+6x^130+2x^132+4x^135+2x^141

The gray image is a linear code over GF(3) with n=495, k=10 and d=297.
This code was found by Heurico 1.16 in 8.19 seconds.