The generator matrix

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

generates a code of length 57 over Z3[X]/(X^2) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+276x^99+198x^100+354x^101+1418x^102+684x^103+882x^104+2602x^105+1116x^106+1296x^107+3758x^108+1836x^109+1974x^110+4788x^111+2202x^112+2316x^113+5990x^114+2316x^115+2436x^116+5862x^117+2256x^118+1872x^119+4462x^120+1524x^121+1314x^122+2552x^123+720x^124+534x^125+856x^126+246x^127+120x^128+178x^129+18x^130+24x^131+28x^132+6x^133+16x^135+6x^138+6x^141+4x^144+2x^147

The gray image is a linear code over GF(3) with n=171, k=10 and d=99.
This code was found by Heurico 1.16 in 42.3 seconds.