The generator matrix

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

generates a code of length 59 over Z3[X]/(X^2) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+168x^100+240x^101+468x^102+1098x^103+1038x^104+1772x^105+2448x^106+2514x^107+3498x^108+4386x^109+4308x^110+5714x^111+7350x^112+6840x^113+8442x^114+10284x^115+8976x^116+10750x^117+12324x^118+9522x^119+10758x^120+11358x^121+8988x^122+8774x^123+8784x^124+5976x^125+5454x^126+4896x^127+2844x^128+2534x^129+1848x^130+954x^131+702x^132+570x^133+246x^134+136x^135+96x^136+42x^137+18x^138+14x^141+4x^144+2x^147+6x^150+2x^153

The gray image is a linear code over GF(3) with n=177, k=11 and d=100.
This code was found by Heurico 1.16 in 454 seconds.