The generator matrix

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

generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+52x^81+114x^82+170x^83+214x^84+196x^85+212x^86+236x^87+220x^88+252x^89+246x^90+204x^91+221x^92+202x^93+202x^94+176x^95+135x^96+152x^97+138x^98+130x^99+111x^100+102x^101+96x^102+72x^103+53x^104+54x^105+42x^106+32x^107+30x^108+12x^109+4x^110+4x^111+7x^112+2x^113+2x^118

The gray image is a linear code over GF(2) with n=184, k=12 and d=81.
This code was found by an older version of Heurico in 0 seconds.