The generator matrix

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

generates a code of length 70 over Z3[X]/(X^3) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+378x^135+852x^136+582x^137+810x^138+810x^139+432x^140+408x^141+720x^142+324x^143+400x^144+498x^145+114x^146+156x^147+36x^148+8x^150+4x^153+6x^155+6x^156+14x^159+2x^168

The gray image is a linear code over GF(3) with n=630, k=8 and d=405.
This code was found by Heurico 1.16 in 0.245 seconds.