The generator matrix

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

generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+54x^63+156x^64+186x^65+310x^66+364x^67+453x^68+528x^69+604x^70+656x^71+737x^72+842x^73+843x^74+954x^75+970x^76+992x^77+1036x^78+954x^79+938x^80+934x^81+727x^82+680x^83+532x^84+472x^85+416x^86+340x^87+225x^88+118x^89+129x^90+82x^91+75x^92+24x^93+20x^94+12x^95+7x^96+7x^98+1x^100+4x^102+1x^108

The gray image is a linear code over GF(2) with n=154, k=14 and d=63.
This code was found by Heurico 1.16 in 62.4 seconds.