The generator matrix

 1  0  0  1  1  1  X  1  1  X  1  X  1  0  1  1  X  1  X  1  1  1  0  0  1  X  1  0  1  X  1  1  0  1  1  0  1  X  1  1  X  0  1  1  1  1  1  1  1  1  0  X  X  0  0  X  X  X  X  X  0  0  0  0  1  1  1  1  1  0  1  1  1  X  X
 0  1  0  0  1 X+1  1  X X+1  1  0  0  1  1  X X+1  1  1  X  X  1 X+1  X  1  0  1  X  1  0  1  1  0  1 X+1  X  1 X+1  0  X  1  1  0  X  X  0  0  1 X+1 X+1  1  1  1  1  1  X  X  0  0  X  X  X  X  0  0  0  0  X  X  1  1  0 X+1 X+1  1  1
 0  0  1  1 X+1  0 X+1  1 X+1  X  X  1  X  1  1  X  1  1  1  0  0  1  1  0  1  X  X X+1  0  1 X+1  X X+1 X+1 X+1  X  X  1 X+1  0  0  1  X  0 X+1 X+1  1  1  0  X  X  0 X+1  1  1  1  0  X  X  0  0  X  X  0  0  X  X  1  1  X  1  X  1  0  1
 0  0  0  X  X  X  0  0  0  X  X  X  0  X  X  X  0  X  0  0  0  0  X  X  0  0  X  X  X  X  0  0  0  X  X  X  0  0  0  X  0  X  0  X  0  X  0  X  0  X  0  X  X  0  0  X  X  X  X  X  X  X  X  X  0  0  0  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 73.

Homogenous weight enumerator: w(x)=1x^0+24x^73+28x^74+24x^75+25x^76+12x^77+1x^78+4x^80+4x^81+1x^82+1x^84+1x^86+1x^88+1x^90

The gray image is a linear code over GF(2) with n=150, k=7 and d=73.
This code was found by Heurico 1.16 in 0.109 seconds.