The generator matrix

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

generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+7x^68+16x^69+23x^70+32x^71+23x^72+16x^73+7x^74+1x^76+1x^98+1x^110

The gray image is a linear code over GF(2) with n=142, k=7 and d=68.
This code was found by Heurico 1.16 in 0.0597 seconds.