The generator matrix

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

generates a code of length 68 over Z3[X]/(X^2) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+218x^120+396x^121+276x^122+852x^123+1266x^124+804x^125+1488x^126+2094x^127+1200x^128+1928x^129+3114x^130+1728x^131+2376x^132+3918x^133+1974x^134+3224x^135+4320x^136+2304x^137+3246x^138+4236x^139+2016x^140+2890x^141+3348x^142+1650x^143+1888x^144+2130x^145+810x^146+1050x^147+1038x^148+300x^149+346x^150+324x^151+54x^152+118x^153+42x^154+6x^155+30x^156+18x^157+12x^159+4x^162+8x^165+2x^168+2x^177

The gray image is a linear code over GF(3) with n=204, k=10 and d=120.
This code was found by Heurico 1.16 in 53.1 seconds.