The generator matrix

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

generates a code of length 53 over Z3[X]/(X^3) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+432x^99+288x^100+1224x^101+1424x^102+1152x^103+2268x^104+1812x^105+1458x^106+3510x^107+1816x^108+1224x^109+1692x^110+764x^111+252x^112+54x^113+162x^114+80x^117+62x^120+6x^123+2x^126

The gray image is a linear code over GF(3) with n=477, k=9 and d=297.
This code was found by Heurico 1.16 in 0.995 seconds.