The generator matrix

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

generates a code of length 71 over Z3[X]/(X^3) who´s minimum homogenous weight is 139.

Homogenous weight enumerator: w(x)=1x^0+342x^139+378x^140+8x^141+870x^142+288x^143+8x^144+42x^145+54x^146+2x^147+150x^148+36x^149+4x^156+4x^159

The gray image is a linear code over GF(3) with n=639, k=7 and d=417.
This code was found by Heurico 1.16 in 0.173 seconds.