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 X 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 1 X 1 1 1 1 1 1 1 X 1 1 1 X 1 X X 1 1 0 1 1 1 X 1 1 1
0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 X 0 X 0 0 X 0 0 0 0 X X 0 X X 0 0 X X 0 0 X X X X X X 0 X 0 X 0 0 0 0 0 0 X X 0 X X 0 0 0 X 0 X 0 X X 0 X X X X 0 X 0 0 X 0 0 X 0 X X 0 X X 0 0 X X 0 X 0 X 0 X
0 0 X 0 0 0 0 0 0 0 X X X 0 X X 0 0 0 0 X 0 X 0 0 0 0 X 0 X X 0 X X X X 0 X X X 0 0 X X 0 X 0 0 X 0 X X X 0 0 0 0 0 X 0 X X X 0 0 0 0 X X 0 X 0 X 0 0 X X 0 X 0 0 X 0 X 0 X 0 0 X X X X 0 0 0 X X X
0 0 0 X 0 0 0 0 0 X 0 X 0 X X 0 0 X 0 0 X 0 X 0 X X 0 X X X 0 0 0 X 0 0 0 X X 0 X 0 X 0 X 0 0 X 0 0 X 0 X 0 X X 0 X X 0 X 0 X 0 0 X X X X X 0 0 0 X 0 0 0 X 0 X X 0 X 0 0 X 0 X 0 X 0 0 X X X 0 0 0
0 0 0 0 X 0 0 0 0 X 0 0 0 0 X X 0 X X 0 X X X X 0 0 X 0 X 0 0 X 0 0 0 0 X 0 X X 0 0 X 0 0 0 0 X X 0 X X 0 X X X X 0 0 X 0 0 0 X X X 0 0 0 X X 0 0 X X 0 0 X X X X X 0 0 0 0 0 X X 0 X 0 X 0 X 0 0 X
0 0 0 0 0 X 0 0 0 X 0 0 X X X X 0 0 0 X 0 0 X X X 0 X X 0 0 X 0 0 0 0 0 0 X X X 0 X 0 X X X X 0 X X 0 X 0 0 X 0 X X X X 0 0 0 X 0 0 X X X 0 0 0 X X 0 0 0 X 0 0 0 0 X X 0 X 0 X 0 0 X 0 0 0 X X 0 X
0 0 0 0 0 0 X 0 0 X 0 X X 0 0 0 X 0 X 0 X 0 X X X 0 X X X 0 0 0 X 0 X X 0 0 X 0 X 0 0 X X 0 0 0 X 0 0 X X 0 0 0 0 X X X X 0 0 X X X 0 0 0 X X 0 X 0 X X 0 0 X X 0 X 0 0 X 0 X 0 X 0 0 0 0 0 X X X 0
0 0 0 0 0 0 0 X 0 X X X 0 0 0 X 0 0 X X 0 0 X X 0 X X 0 0 0 X X 0 0 X X 0 0 0 X X X 0 0 X 0 X X 0 0 X 0 X X 0 0 X X X X 0 0 0 0 0 X X 0 X X 0 0 X X X 0 X 0 0 0 X X 0 0 0 0 X X X X X 0 0 0 0 X 0 0
0 0 0 0 0 0 0 0 X X X 0 0 X 0 0 X X X 0 X X 0 0 X X X X 0 0 0 X 0 X X X X 0 0 X 0 0 0 X X 0 X X X X 0 0 0 0 X X 0 X X X X X 0 X X 0 0 0 X X X X 0 X 0 X 0 0 0 0 X 0 X X 0 X X 0 X X 0 X 0 X X 0 0 0
generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 88.
Homogenous weight enumerator: w(x)=1x^0+99x^88+4x^90+128x^92+60x^94+189x^96+132x^98+158x^100+52x^102+91x^104+8x^106+53x^108+31x^112+12x^116+4x^120+1x^124+1x^176
The gray image is a linear code over GF(2) with n=196, k=10 and d=88.
This code was found by Heurico 1.16 in 0.853 seconds.