The generator matrix

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

generates a code of length 91 over Z2[X]/(X^2) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+82x^77+184x^78+254x^79+375x^80+462x^81+535x^82+562x^83+676x^84+682x^85+692x^86+800x^87+814x^88+860x^89+853x^90+896x^91+887x^92+870x^93+815x^94+768x^95+675x^96+592x^97+612x^98+572x^99+446x^100+370x^101+317x^102+238x^103+191x^104+92x^105+76x^106+66x^107+26x^108+20x^109+12x^110+4x^111+4x^112+2x^113+1x^132

The gray image is a linear code over GF(2) with n=182, k=14 and d=77.
This code was found by Heurico 1.10 in 17.6 seconds.