The generator matrix

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

generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+186x^118+384x^119+228x^120+972x^121+1266x^122+446x^123+1842x^124+2142x^125+650x^126+2736x^127+3096x^128+736x^129+3414x^130+3786x^131+850x^132+4386x^133+4242x^134+1112x^135+4368x^136+4446x^137+1184x^138+3960x^139+3330x^140+728x^141+2520x^142+2310x^143+354x^144+1290x^145+924x^146+146x^147+456x^148+258x^149+72x^150+108x^151+54x^152+12x^153+6x^154+6x^155+22x^156+10x^159+2x^162+6x^165+2x^171

The gray image is a linear code over GF(3) with n=201, k=10 and d=118.
This code was found by Heurico 1.16 in 63.2 seconds.