The generator matrix

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

generates a code of length 57 over Z3[X]/(X^2) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+42x^100+216x^101+262x^102+228x^103+570x^104+520x^105+480x^106+948x^107+812x^108+600x^109+1302x^110+1082x^111+642x^112+1482x^113+1204x^114+768x^115+1506x^116+1186x^117+780x^118+1482x^119+804x^120+462x^121+852x^122+420x^123+264x^124+300x^125+168x^126+90x^127+78x^128+56x^129+18x^130+12x^131+14x^132+18x^135+4x^138+2x^141+2x^144+6x^147

The gray image is a linear code over GF(3) with n=171, k=9 and d=100.
This code was found by Heurico 1.16 in 5.3 seconds.