The generator matrix

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

generates a code of length 70 over Z3[X]/(X^2) who´s minimum homogenous weight is 124.

Homogenous weight enumerator: w(x)=1x^0+168x^124+402x^125+464x^126+882x^127+1140x^128+878x^129+1506x^130+1836x^131+1434x^132+2256x^133+2670x^134+2040x^135+3180x^136+2844x^137+2452x^138+3342x^139+3522x^140+2486x^141+3558x^142+3534x^143+2038x^144+3042x^145+2760x^146+1700x^147+2244x^148+1830x^149+1244x^150+1098x^151+1020x^152+452x^153+474x^154+240x^155+98x^156+108x^157+66x^158+20x^159+12x^160+6x^161+2x^174

The gray image is a linear code over GF(3) with n=210, k=10 and d=124.
This code was found by Heurico 1.16 in 55.2 seconds.