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

generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+118x^120+282x^121+186x^122+410x^123+678x^124+432x^125+734x^126+942x^127+516x^128+892x^129+1248x^130+630x^131+1056x^132+1458x^133+816x^134+978x^135+1368x^136+726x^137+922x^138+1332x^139+498x^140+702x^141+804x^142+360x^143+438x^144+444x^145+162x^146+184x^147+162x^148+36x^149+72x^150+30x^151+12x^152+16x^153+22x^156+8x^159+2x^162+4x^165+2x^168

The gray image is a linear code over GF(3) with n=201, k=9 and d=120.
This code was found by Heurico 1.16 in 6.39 seconds.