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

generates a code of length 55 over Z3[X]/(X^3) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+306x^105+618x^106+486x^107+1288x^108+642x^109+522x^110+590x^111+438x^112+426x^113+730x^114+384x^115+18x^116+64x^117+6x^120+12x^121+6x^122+2x^123+6x^124+6x^126+6x^127+4x^129

The gray image is a linear code over GF(3) with n=495, k=8 and d=315.
This code was found by Heurico 1.16 in 0.144 seconds.