The generator matrix

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

generates a code of length 52 over Z3[X]/(X^3) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+256x^99+600x^100+702x^101+880x^102+888x^103+606x^104+460x^105+510x^106+582x^107+552x^108+414x^109+42x^110+6x^111+12x^112+12x^113+8x^114+10x^117+14x^120+6x^121

The gray image is a linear code over GF(3) with n=468, k=8 and d=297.
This code was found by Heurico 1.16 in 0.13 seconds.