The generator matrix

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

generates a code of length 70 over Z3[X]/(X^2) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+126x^129+120x^130+168x^131+542x^132+210x^133+204x^134+640x^135+300x^136+354x^137+558x^138+222x^139+216x^140+506x^141+180x^142+150x^143+502x^144+114x^145+132x^146+338x^147+156x^148+114x^149+226x^150+108x^151+96x^152+124x^153+36x^154+18x^155+56x^156+6x^157+6x^158+20x^159+6x^160+2x^162+2x^165+2x^168

The gray image is a linear code over GF(3) with n=210, k=8 and d=129.
This code was found by Heurico 1.16 in 0.689 seconds.