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
 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  X  X  0  X  X  0  X  X  0  X  X  0  X  0  X  0  X  0  X  X  X  X  X  0  0  0  0  0  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  0  X  X  0  X  X  0  X  0  X  X  X  X  X  X  X  X  X  0  0  0  0  0  0  0  0  X  X
 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  0  X  X  0  X  0  X  X  X  0  X  0  0  X  X  0  0  0  X  X  0  0  0  0  0  0  X  X  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  0  0  0  X  X  0  0  X  X  0  0  X  X  X  X  X  0  X  X  X  0  0  0  0  X  X  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  0  0  X  X  X  0  X  X  X  X  0  X  X  0  0  X  0  0  X  0  0  X  0  0  X  X  0  0  0

generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+6x^66+15x^68+84x^70+15x^72+6x^74+1x^140

The gray image is a linear code over GF(2) with n=140, k=7 and d=66.
This code was found by Heurico 1.16 in 0.0873 seconds.