The generator matrix

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

generates a code of length 70 over Z3[X]/(X^2) who´s minimum homogenous weight is 137.

Homogenous weight enumerator: w(x)=1x^0+228x^137+166x^138+138x^140+36x^141+72x^143+4x^144+18x^146+16x^147+18x^149+4x^153+6x^155+16x^156+6x^158

The gray image is a linear code over GF(3) with n=210, k=6 and d=137.
This code was found by Heurico 1.16 in 14.8 seconds.