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  1  1  1  X  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  0  0  0  X  X  X  X  0  X  X  X  0  X  X  X  0  X  0  X  X  X  X  X  0  0  0  0  0  X  0  X  0  X  X  0  0  X  X  0
 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  0  X  X  X  0  0  0  0  0  0  0  X  X  X  X  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  X  X  X  X  X  X  X  X  0  0  0  0  X  X  X  X  X  X  X  X  0  0  0  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  X  X  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  X  0  0  X  X  X  X  0  X  X  X  X  0  0  0  0  0  0  X  X  0  0  0  X  X  0  0  0  0  0  X  X  X  X  X  X  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  0  X  X  0  0  0  0  0  X  X  X  X  X  X  0  X  0  0  X  0  0  X  X  0  0  0  0  X  X  X  X  0  0  0  0  0

generates a code of length 80 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+16x^76+11x^78+32x^79+11x^80+32x^81+12x^82+4x^84+8x^86+1x^158

The gray image is a linear code over GF(2) with n=160, k=7 and d=76.
This code was found by Heurico 1.16 in 0.078 seconds.