The generator matrix

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

generates a code of length 70 over Z3[X]/(X^2) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+60x^126+42x^128+262x^129+66x^130+96x^131+464x^132+204x^133+204x^134+476x^135+222x^136+204x^137+470x^138+270x^139+312x^140+582x^141+300x^142+258x^143+516x^144+210x^145+240x^146+420x^147+150x^148+78x^149+226x^150+36x^151+24x^152+84x^153+20x^156+14x^159+14x^162+10x^165+10x^168+8x^171+6x^174+2x^180

The gray image is a linear code over GF(3) with n=210, k=8 and d=126.
This code was found by Heurico 1.16 in 0.814 seconds.