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

generates a code of length 70 over Z3[X]/(X^2) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+204x^130+360x^131+120x^132+474x^133+516x^134+96x^135+528x^136+540x^137+166x^138+474x^139+426x^140+136x^141+408x^142+342x^143+50x^144+306x^145+288x^146+62x^147+240x^148+186x^149+68x^150+162x^151+132x^152+18x^153+66x^154+108x^155+6x^156+36x^157+18x^158+18x^160+6x^162

The gray image is a linear code over GF(3) with n=210, k=8 and d=130.
This code was found by Heurico 1.16 in 0.683 seconds.