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

generates a code of length 55 over Z3[X]/(X^3) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+168x^100+342x^101+54x^102+492x^103+546x^104+254x^105+462x^106+1104x^107+1590x^108+444x^109+7614x^110+2750x^111+540x^112+1356x^113+404x^114+360x^115+402x^116+12x^117+210x^118+180x^119+20x^120+174x^121+96x^122+8x^123+60x^124+6x^125+4x^126+6x^127+18x^128+2x^129+2x^135+2x^153

The gray image is a linear code over GF(3) with n=495, k=9 and d=300.
This code was found by Heurico 1.16 in 37.9 seconds.