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

generates a code of length 54 over Z3[X]/(X^3) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+564x^99+1182x^102+324x^104+1182x^105+1944x^106+1296x^107+5398x^108+3888x^109+1296x^110+1086x^111+804x^114+422x^117+210x^120+66x^123+12x^126+6x^129+2x^153

The gray image is a linear code over GF(3) with n=486, k=9 and d=297.
This code was found by Heurico 1.16 in 2.71 seconds.