The generator matrix

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

generates a code of length 70 over Z3[X]/(X^3) who´s minimum homogenous weight is 131.

Homogenous weight enumerator: w(x)=1x^0+204x^131+304x^132+306x^133+816x^134+960x^135+666x^136+1902x^137+1602x^138+1458x^139+2754x^140+1952x^141+1206x^142+2322x^143+1364x^144+684x^145+510x^146+302x^147+54x^148+174x^149+42x^150+48x^152+18x^153+18x^155+2x^156+4x^159+4x^162+2x^168+2x^171+2x^183

The gray image is a linear code over GF(3) with n=630, k=9 and d=393.
This code was found by Heurico 1.16 in 1.35 seconds.