The generator matrix

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

generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+45x^82+52x^83+96x^84+128x^85+127x^86+154x^87+150x^88+134x^89+114x^90+102x^91+91x^92+98x^93+93x^94+86x^95+72x^96+74x^97+50x^98+66x^99+61x^100+50x^101+49x^102+40x^103+30x^104+24x^105+18x^106+12x^107+7x^108+4x^109+10x^110+3x^112+4x^114+1x^116+1x^126+1x^130

The gray image is a linear code over GF(2) with n=184, k=11 and d=82.
This code was found by Heurico 1.16 in 1.08 seconds.