The generator matrix

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

generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+36x^73+58x^74+56x^75+42x^76+42x^77+51x^78+36x^79+31x^80+22x^81+30x^82+24x^83+10x^84+20x^85+12x^86+4x^87+6x^88+4x^89+2x^90+4x^91+2x^93+5x^94+6x^96+2x^97+2x^98+4x^99

The gray image is a linear code over GF(2) with n=158, k=9 and d=73.
This code was found by Heurico 1.16 in 0.11 seconds.