The generator matrix

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

generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+66x^121+196x^123+270x^124+278x^126+552x^127+192x^129+600x^130+472x^132+780x^133+342x^135+810x^136+222x^138+696x^139+278x^141+408x^142+90x^144+150x^145+18x^147+42x^148+36x^150+16x^153+38x^159+2x^162+4x^168+2x^177

The gray image is a linear code over GF(3) with n=201, k=8 and d=121.
This code was found by Heurico 1.16 in 2.79 seconds.