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

generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+34x^72+24x^74+48x^76+8x^78+12x^80+1x^144

The gray image is a linear code over GF(2) with n=150, k=7 and d=72.
This code was found by Heurico 1.16 in 0.0742 seconds.