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

generates a code of length 71 over Z3[X]/(X^2) who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+64x^138+162x^139+84x^140+108x^141+90x^142+48x^143+34x^144+30x^145+30x^146+8x^147+12x^148+2x^150+24x^151+8x^153+6x^156+10x^159+6x^160+2x^162

The gray image is a linear code over GF(3) with n=213, k=6 and d=138.
This code was found by Heurico 1.16 in 0.0467 seconds.