The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X 1 X 1 X 1 1 X X 1 X 1 1 X 1 X X 0 1 0 X 1 0 0 1 1 0 1 1 1 0 0 1 1 1 1 1
0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X 0 X X X X 0 X 0 0 0 X X X 0 X X X 0 X 0 X X 0 X 0 X 0 X X X 0 0 X 0 X 0 0 X 0 X X 0 0 0 X 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X X
0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 0 0 X 0 0 0 X X X 0 0 0 X X X 0 X X 0 0 X X X 0 0 0 X X X 0 0 0 X X X X X 0 0 0 0 0 X X 0 0 X X 0 0 0 X 0 0 X 0 0 X X X 0 0 0 X X
0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 0 X 0 X X X 0 X 0 0 X X 0 0 0 X X X 0 X 0 X X 0 0 X X X 0 0 0 0 0 X X 0 X X 0 X 0 0 0 X X X X 0 0 X X X X X 0 X 0 X X X 0 0 X X 0 0
0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 X X X 0 0 0 X X X X X 0 X X 0 0 0 X 0 0 0 0 X 0 X 0 X 0 X X X 0 X X X 0 0 0 X X 0 X X 0 0 X X 0 X X X 0 0 X X X 0 X X X 0 0 X 0 0 0 0
0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 X X X X 0 0 X X 0 0 0 X 0 X 0 0 0 0 X X 0 X X X 0 0 0 X X X 0 0 0 0 0 X 0 0 X X X 0 X X 0 0 X 0 0 0 X X X X X 0 0 X 0 0 X X X X X 0 0
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 X X 0 X 0 X 0 0 X 0 0 X X X 0 0 0 0 X 0 0 0 X X X X 0 X X X X X 0 X 0 X X X 0 X X 0 0 X X 0 X 0 X X X X X 0 X X X X 0 0 0 0 X 0 0 X 0 X X 0 0
0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 X 0 X X X X 0 0 0 X X X X X 0 0 0 0 X X X X X 0 0 X 0 0 0 X X 0 X X X 0 X X 0 X 0 X X X X X X 0 0 0 X 0 X 0 0 0 X X 0 X X 0 0 0
0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 X 0 0 0 0 X X X 0 0 X X 0 X X X X 0 0 0 X X X X 0 X 0 0 0 0 X 0 0 0 X 0 X X X 0 X 0 0 0 X 0 0 X X X X X X X 0 0 0 0 X X X X X X X 0 X 0 0
0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 X 0 0 X X 0 0 X 0 X X 0 0 X X 0 X X 0 0 0 0 X 0 0 0 X 0 X X 0 0 X X X X X X 0 0 X X X X 0 X X X 0 X X 0 0 X X X X X 0 X X 0 0 0 0 0 0 X 0 X 0 0 0
0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X 0 X 0 X 0 0 0 0 0 X 0 X 0 0 X 0 X X 0 0 0 X 0 0 X 0 0 X X 0 X 0 X X X X 0 X 0 X X 0 X 0 0 0 0 X 0 X 0 X 0 0 0 0 X X X 0 0 0 0 X X 0 X X X X
generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.
Homogenous weight enumerator: w(x)=1x^0+96x^76+230x^80+50x^82+417x^84+132x^86+533x^88+338x^90+622x^92+312x^94+497x^96+150x^98+332x^100+36x^102+164x^104+6x^106+117x^108+44x^112+15x^116+3x^120+1x^140
The gray image is a linear code over GF(2) with n=184, k=12 and d=76.
This code was found by Heurico 1.16 in 6.83 seconds.