The generator matrix

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

generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+20x^71+40x^72+44x^73+38x^74+34x^75+16x^76+14x^77+16x^78+6x^79+7x^80+2x^81+3x^82+2x^85+2x^86+2x^87+2x^89+3x^90+2x^91+1x^94+1x^102

The gray image is a linear code over GF(2) with n=150, k=8 and d=71.
This code was found by Heurico 1.16 in 0.078 seconds.