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

generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+60x^74+15x^76+15x^80+36x^82+1x^124

The gray image is a linear code over GF(2) with n=154, k=7 and d=74.
This code was found by Heurico 1.16 in 49.4 seconds.