The generator matrix

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

generates a code of length 70 over Z3[X]/(X^3) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+80x^126+6x^127+144x^128+262x^129+138x^130+792x^131+868x^132+486x^133+2544x^134+2108x^135+1584x^136+6570x^137+3894x^138+3426x^139+10860x^140+5106x^141+2928x^142+8112x^143+3142x^144+1488x^145+2724x^146+938x^147+108x^148+282x^149+158x^150+42x^151+36x^152+128x^153+12x^155+24x^156+10x^159+12x^162+10x^165+8x^168+8x^171+2x^174+6x^177+2x^180

The gray image is a linear code over GF(3) with n=630, k=10 and d=378.
This code was found by Heurico 1.16 in 10.8 seconds.