The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  0  0  0  0  0  0  0  0  0  0  X  X  X  0  X  0  X  X  X  0  X  X  X  0  X  0  X  X  X  X  X  0  0  0  0  0  X  X
 0  0  X  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  0  X  X  0  0  X  X  X  X  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  0  0  X  X  0  0  X  X  X  X  0  0  0  0  0  0  0  0  X  X  0
 0  0  0  X  0  0  0  X  X  X  X  X  0  X  X  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  0  0  0  X  X  X  X  X  X  X  0  0  0  X  0  0  X  X  0  0  X  X  0  0  X  0  X  X  X  0  0  0  0  0  X  X  0  0
 0  0  0  0  X  0  X  X  X  0  0  0  0  X  X  X  X  0  0  0  X  X  X  X  X  X  0  0  0  0  X  X  0  0  X  X  X  X  0  0  0  0  X  0  0  X  X  X  X  X  0  X  X  0  X  X  0  X  0  0  0  X  0  0  0  0  X  X  0  0  0
 0  0  0  0  0  X  X  0  X  X  0  X  X  X  0  0  X  0  X  X  X  0  0  X  0  X  X  0  0  X  X  0  0  X  X  0  0  X  X  0  0  X  X  0  X  X  0  0  0  0  0  0  X  X  0  X  X  X  0  0  X  X  X  0  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+21x^68+32x^70+67x^72+6x^76+1x^140

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 0.092 seconds.