The generator matrix

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

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+152x^105+474x^106+540x^108+1122x^109+776x^111+1692x^112+996x^114+2052x^115+956x^117+2268x^118+1132x^120+2244x^121+908x^123+1848x^124+666x^126+984x^127+288x^129+384x^130+80x^132+54x^133+16x^135+16x^138+22x^141+6x^144+2x^147+2x^150+2x^153

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 8.41 seconds.