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

generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+38x^72+32x^74+116x^76+32x^78+33x^80+3x^84+1x^148

The gray image is a linear code over GF(2) with n=152, k=8 and d=72.
This code was found by Heurico 1.16 in 0.113 seconds.