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

generates a code of length 61 over Z3[X]/(X^2) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+112x^108+78x^109+192x^110+588x^111+324x^112+312x^113+1226x^114+600x^115+564x^116+1510x^117+654x^118+756x^119+1732x^120+606x^121+678x^122+1806x^123+708x^124+768x^125+1806x^126+708x^127+636x^128+1086x^129+408x^130+360x^131+734x^132+204x^133+72x^134+218x^135+72x^136+36x^137+62x^138+12x^139+30x^141+12x^144+4x^147+2x^150+4x^153+2x^156

The gray image is a linear code over GF(3) with n=183, k=9 and d=108.
This code was found by Heurico 1.16 in 5.59 seconds.