The generator matrix

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

generates a code of length 61 over Z3[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+84x^105+36x^106+230x^108+282x^109+408x^111+606x^112+630x^114+1344x^115+762x^117+2046x^118+990x^120+2502x^121+1068x^123+2586x^124+990x^126+2028x^127+610x^129+1296x^130+356x^132+300x^133+156x^135+72x^136+130x^138+24x^139+68x^141+48x^144+22x^147+8x^150

The gray image is a linear code over GF(3) with n=183, k=9 and d=105.
This code was found by Heurico 1.16 in 6.4 seconds.