The generator matrix

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

generates a code of length 59 over Z3[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+108x^105+222x^106+354x^107+640x^108+582x^109+624x^110+972x^111+660x^112+882x^113+1224x^114+930x^115+888x^116+1404x^117+960x^118+906x^119+1194x^120+966x^121+1080x^122+1192x^123+822x^124+588x^125+758x^126+510x^127+342x^128+316x^129+156x^130+126x^131+158x^132+24x^133+42x^134+46x^135+2x^138+4x^144

The gray image is a linear code over GF(3) with n=177, k=9 and d=105.
This code was found by Heurico 1.16 in 7.09 seconds.