The generator matrix

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

generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+20x^69+34x^70+28x^71+12x^72+12x^73+10x^74+4x^75+2x^78+3x^80+2x^82

The gray image is a linear code over GF(2) with n=142, k=7 and d=69.
This code was found by Heurico 1.16 in 0.059 seconds.