The generator matrix

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

generates a code of length 55 over Z3[X]/(X^2) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+192x^100+252x^101+122x^102+372x^103+498x^104+120x^105+504x^106+540x^107+138x^108+546x^109+516x^110+98x^111+438x^112+456x^113+104x^114+468x^115+324x^116+62x^117+210x^118+180x^119+62x^120+144x^121+108x^122+8x^123+36x^124+36x^125+4x^126+6x^127+6x^128+6x^129+2x^132+2x^144

The gray image is a linear code over GF(3) with n=165, k=8 and d=100.
This code was found by Heurico 1.16 in 3.99 seconds.