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  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  0  X  X  0  X  X  0  X  X  0  X  X  0  X  X  0  X  X  0  X  X  0  X  X  0  X  X  X  X  X  0  X  0  0  0  X  0  0  X  X  X  X  X  X  X  0  0  0  0  0  0  X
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  0  X  X  0  X  X  0  X  X  0  X  X  0  X  X  0  X  0  X  X  X  0  X  X  0  X  0  0  X  X  X  X  X  0  X  X  0  X  X  X  X  0  0  0  0  0  0  0  X  X
 0  0  0  X  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  X  X  X  0  X  0  X  0  X  0  X  X  0  X  X  X  0  X  0  X  0  0  X  0  0  X  X  0  0  X  X  X  0  0  X  0  0  X  0  0  X  X  0  0  0  0  0  0  X  X  0
 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  0  0  0  0  X  X  0  X  X  X  0  X  X  0  X  0  X  X  X  0  X  X  0  X  X  X  X  X  X  0  X  0  0  0  X  X  0  X  X  0  0  0  X  X  0  0
 0  0  0  0  0  X  0  X  X  X  0  0  0  0  X  X  X  X  0  0  0  0  0  0  0  0  0  0  X  X  0  X  X  0  X  X  0  0  X  X  X  0  X  0  X  X  0  X  0  X  X  0  X  0  X  X  X  X  X  0  0  X  X  X  0  0  X  X  0  0  0
 0  0  0  0  0  0  X  X  0  X  X  0  X  X  X  0  0  X  0  0  0  0  X  X  X  X  X  X  X  0  X  0  X  0  0  0  0  X  0  0  0  0  X  X  X  0  0  X  X  X  X  0  X  0  X  0  X  0  0  X  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 66.

Homogenous weight enumerator: w(x)=1x^0+7x^66+21x^68+35x^70+128x^71+35x^72+21x^74+7x^76+1x^142

The gray image is a linear code over GF(2) with n=142, k=8 and d=66.
This code was found by Heurico 1.16 in 0.102 seconds.