The generator matrix

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

generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+48x^73+80x^74+70x^75+52x^76+48x^77+43x^78+28x^79+24x^80+20x^81+16x^82+14x^83+15x^84+4x^85+10x^86+8x^87+3x^88+4x^89+6x^90+4x^91+1x^92+4x^93+3x^94+2x^95+2x^103+2x^106

The gray image is a linear code over GF(2) with n=156, k=9 and d=73.
This code was found by Heurico 1.16 in 0.136 seconds.