The generator matrix

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

generates a code of length 70 over Z3[X]/(X^2) who´s minimum homogenous weight is 127.

Homogenous weight enumerator: w(x)=1x^0+276x^127+402x^128+168x^129+720x^130+918x^131+252x^132+1074x^133+1170x^134+344x^135+1266x^136+1284x^137+304x^138+1350x^139+1410x^140+332x^141+1290x^142+1242x^143+270x^144+1140x^145+990x^146+228x^147+834x^148+762x^149+188x^150+528x^151+420x^152+74x^153+216x^154+114x^155+18x^156+48x^157+24x^158+2x^159+6x^160+12x^161+2x^162+2x^165+2x^171

The gray image is a linear code over GF(3) with n=210, k=9 and d=127.
This code was found by Heurico 1.16 in 6.91 seconds.