The generator matrix

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

generates a code of length 59 over Z3[X]/(X^2) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+30x^99+192x^102+6x^103+72x^104+356x^105+72x^106+162x^107+690x^108+228x^109+330x^110+1042x^111+522x^112+630x^113+1488x^114+774x^115+792x^116+1882x^117+984x^118+852x^119+1926x^120+1008x^121+756x^122+1618x^123+558x^124+558x^125+880x^126+192x^127+168x^128+450x^129+30x^130+54x^131+184x^132+92x^135+56x^138+24x^141+14x^144+6x^147+2x^150+2x^153

The gray image is a linear code over GF(3) with n=177, k=9 and d=99.
This code was found by Heurico 1.16 in 6.01 seconds.