The generator matrix

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

generates a code of length 70 over Z3[X]/(X^3) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+294x^129+660x^130+1650x^131+2874x^132+4506x^133+6318x^134+8004x^135+10098x^136+12048x^137+13530x^138+17778x^139+17676x^140+15626x^141+17574x^142+15546x^143+11596x^144+8568x^145+5676x^146+3714x^147+1608x^148+774x^149+392x^150+288x^151+54x^152+58x^153+126x^154+24x^155+30x^156+24x^157+6x^158+8x^159+6x^160+6x^161+6x^162

The gray image is a linear code over GF(3) with n=630, k=11 and d=387.
This code was found by Heurico 1.16 in 73.6 seconds.