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

generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+26x^73+47x^74+32x^75+23x^76+28x^77+28x^78+26x^79+5x^80+6x^81+15x^82+4x^83+1x^84+3x^86+2x^87+4x^89+2x^90+1x^94+1x^96+1x^104

The gray image is a linear code over GF(2) with n=154, k=8 and d=73.
This code was found by Heurico 1.16 in 0.078 seconds.