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

generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+13x^70+26x^72+24x^74+128x^75+24x^76+26x^78+13x^80+1x^150

The gray image is a linear code over GF(2) with n=150, k=8 and d=70.
This code was found by Heurico 1.16 in 0.078 seconds.