The generator matrix

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

generates a code of length 70 over Z3[X]/(X^3) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+414x^128+908x^129+3438x^130+5232x^131+9160x^132+13248x^133+17298x^134+22968x^135+29646x^136+34542x^137+43160x^138+49056x^139+50790x^140+54052x^141+51354x^142+43920x^143+37534x^144+27618x^145+17196x^146+9404x^147+5790x^148+2478x^149+1342x^150+510x^151+138x^152+40x^153+84x^154+30x^155+24x^156+36x^157+12x^159+12x^160+6x^161

The gray image is a linear code over GF(3) with n=630, k=12 and d=384.
This code was found by Heurico 1.16 in 568 seconds.