The generator matrix

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

generates a code of length 70 over Z3[X]/(X^3) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+288x^130+438x^131+978x^132+1584x^133+2196x^134+2372x^135+3198x^136+4200x^137+5054x^138+4908x^139+6690x^140+6102x^141+5772x^142+4686x^143+4260x^144+2430x^145+1704x^146+838x^147+450x^148+258x^149+48x^150+180x^151+174x^152+18x^153+72x^154+54x^155+10x^156+36x^157+12x^158+24x^160+6x^163+2x^165+6x^166

The gray image is a linear code over GF(3) with n=630, k=10 and d=390.
This code was found by Heurico 1.16 in 18.3 seconds.