The generator matrix

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

generates a code of length 54 over Z3[X]/(X^3) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+552x^100+708x^101+1792x^102+3678x^103+2940x^104+4662x^105+6702x^106+4572x^107+6448x^108+7218x^109+4710x^110+5372x^111+4842x^112+1782x^113+1326x^114+1200x^115+324x^116+70x^117+78x^118+18x^119+12x^120+12x^121+12x^122+18x^124

The gray image is a linear code over GF(3) with n=486, k=10 and d=300.
This code was found by Heurico 1.16 in 5.98 seconds.