The generator matrix

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

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+166x^99+324x^100+492x^101+892x^102+954x^103+1176x^104+2054x^105+1518x^106+1950x^107+2826x^108+2118x^109+2322x^110+3630x^111+3060x^112+3012x^113+4404x^114+3252x^115+3252x^116+4080x^117+3000x^118+2748x^119+3354x^120+1914x^121+1662x^122+1764x^123+870x^124+612x^125+656x^126+426x^127+252x^128+206x^129+48x^130+18x^131+22x^132+12x^133+2x^135

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 42.7 seconds.