The generator matrix

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

generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+222x^128+222x^129+240x^130+492x^131+340x^132+288x^133+606x^134+456x^135+264x^136+384x^137+356x^138+222x^139+300x^140+258x^141+132x^142+342x^143+288x^144+132x^145+246x^146+118x^147+96x^148+174x^149+86x^150+42x^151+96x^152+56x^153+36x^154+48x^155+6x^156+6x^158+6x^160

The gray image is a linear code over GF(3) with n=207, k=8 and d=128.
This code was found by Heurico 1.16 in 0.703 seconds.