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 1 1 1 1 1 X X X X 0 X X X X X X 1 X 1 1 1 1 0 1 1 1 1 X X 1 1 1 1 X X 1 1 0 1 0 X 0 X 1 X 1 1 X X
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 X X X X X X X X 0 0 X X X X 0 X 0 X X 0 X 0 X X X 0 X X 0 X 0 X X 0 0 0 0 X X X 0 X X 0 X X 0 0 0
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 0 0 0 0 X X 0 X 0 0 X 0 X X X X X X X X X X X 0 0 0 0 0 0 X X X X 0 X 0 0 0 X X 0 0 0 0 0
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 X 0 0 X X 0 X X X 0 0 X X 0 0 0 X 0 0 X X 0 0 X 0 X 0 0 0 0 0 0 X X 0 0 0 0 X X 0 0 X 0 X X X X X
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 0 X 0 X 0 0 X X X X X X X X X X X 0 X X X X X 0 X X 0 0 0 0 X 0 0 0 X 0 X X X X X 0 0 0 X 0 0 X
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 X 0 0 0 0 X 0 X X 0 0 0 X 0 X X X X X X 0 0 0 0 X 0 0 0 X 0 0 0 X X X 0 X 0 X X 0 0 X 0 0 0 X X X
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 X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 X X 0 X X X X X X X 0 X X X 0 X X 0 X 0 0 0 0 X 0 X
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 0 0 X X 0 0 X 0 0 X X 0 0 X 0 X 0 0 X X X 0 X X X X 0 0 X X X X 0 0 0 0 0 0 X X 0 X 0 0 0 0 X 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 X X X 0 0 X X 0 X 0 X X X 0 0 0 X 0 X X 0 0 X X X X 0 0 X 0 0 0 0 X X 0 0 0 0 X X 0 X 0 X X X X
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 X X 0 0 X 0 0 X 0 0 X X X 0 X 0 X 0 X 0 0 X X 0 X X 0 X X 0 0 0 X 0 X 0 0 X 0 X 0 X 0 0 X 0 X 0 X
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 X 0 0 0 0 X 0 0 X X X 0 X X 0 X 0 0 0 X 0 X 0 0 X X 0 0 0 X 0 0 0 X 0 0 X X 0 X 0 X 0 X 0 X X 0
generates a code of length 99 over Z2[X]/(X^2) who´s minimum homogenous weight is 84.
Homogenous weight enumerator: w(x)=1x^0+132x^84+8x^86+361x^88+74x^90+397x^92+208x^94+551x^96+286x^98+557x^100+296x^102+483x^104+118x^106+269x^108+32x^110+183x^112+2x^114+74x^116+48x^120+10x^124+5x^128+1x^148
The gray image is a linear code over GF(2) with n=198, k=12 and d=84.
This code was found by Heurico 1.16 in 7.68 seconds.