The generator matrix

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

generates a code of length 59 over Z3[X]/(X^2) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+88x^102+132x^103+330x^104+704x^105+810x^106+978x^107+1584x^108+1524x^109+1386x^110+2598x^111+1986x^112+2298x^113+3300x^114+2352x^115+2886x^116+4190x^117+3198x^118+3324x^119+4162x^120+3132x^121+3102x^122+3804x^123+2328x^124+1800x^125+2222x^126+1302x^127+960x^128+1062x^129+582x^130+372x^131+260x^132+126x^133+60x^134+52x^135+24x^136+4x^138+10x^141+6x^144+6x^147+4x^150

The gray image is a linear code over GF(3) with n=177, k=10 and d=102.
This code was found by Heurico 1.16 in 44 seconds.