The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  X  1  1  X  1  1  X  1  1  X  1  1  0  1  1  0  1  1  0  1  1  0  1  1  1  1  1  1  1  1  X  X  X  X  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  1  1  0  1  1 X+1  0  1  0 X+1  1  X X+1  1  X  1  1  X X+1  1  X  1  1  0 X+1  1  0 X+1  1  0 X+1  1  0 X+1  1  X  X  X  X  1  1  1  1  1  1  1  1  0  0  0  0  0  X  0  X  0  X  X  X  0  X  X  X X+1 X+1 X+1  1 X+1 X+1  1 X+1  0  0  0
 0  0  X  0  0  0  0  X  X  X  X  X  X  0  X  X  0  X  0  X  0  0  X  0  0  0  0  X  X  X  0  0  X  X  X  0  X  X  0  0  X  X  0  0  X  X  0  0  0  0  0  0  X  X  X  X  X  X  0  0  X  X  0  0  0  0  0  0  X  X  X  X  0  0  0
 0  0  0  X  0  X  X  X  X  0  X  0  0  0  0  X  X  X  X  0  X  0  X  0  0  0  X  X  X  0  X  X  X  0  0  0  0  X  X  0  0  X  X  0  0  X  X  0  0  0  X  X  X  0  X  0  0  X  X  0  0  X  X  0  0  0  X  X  X  X  X  0  X  0  0
 0  0  0  0  X  0  X  X  X  X  0  X  X  X  X  X  X  X  0  0  0  0  0  0  X  0  X  0  X  0  X  0  0  0  X  X  0  0  X  X  X  X  0  0  0  0  X  X  0  X  X  0  0  0  X  X  X  X  0  0  0  0  X  X  0  X  X  0  0  X  X  X  X  0  0

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+18x^72+12x^73+26x^74+16x^75+12x^76+32x^77+4x^78+1x^80+4x^81+1x^98+1x^114

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 0.073 seconds.