The generator matrix
1 0 0 0 1 1 1 X 0 0 0 1 1 1 1 1 1 1 0 X 1 0 X 1 X 1 0 X 1 X 0 X 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 X 1 1 X 1 0 1 0 0 X 1 X 1 1 1 X 1 X 0 0 1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 X X 1 X 1 1 1 1 X 0 1 X 1 1
0 1 0 0 0 0 0 0 1 1 1 1 X+1 1 1 X 0 X X 1 X+1 0 1 1 1 X+1 1 1 0 X 0 1 X+1 1 X+1 0 X X X X 1 1 X X 1 1 0 1 1 1 1 X X+1 1 1 1 X X X+1 1 X+1 X X 1 0 0 0 1 0 X+1 1 0 X 0 X 0 0 1 1 X 0 X+1 0 1 0 X X X+1 1 0 X+1 X 0 0 1 0 1
0 0 1 0 0 1 1 1 X 1 X+1 1 1 X 0 X+1 1 X 0 X+1 X+1 1 1 0 X 0 X X 0 1 X X+1 X+1 1 X X 1 X+1 0 1 1 1 0 1 0 X X+1 1 1 0 0 1 X+1 X+1 0 X+1 1 1 X 0 X 0 X+1 X+1 0 0 1 X X+1 X 0 X 1 X X X+1 X 0 X+1 X+1 1 0 X 1 1 0 1 1 1 1 1 X 1 1 1 0 0
0 0 0 1 1 1 0 1 1 X+1 X 0 1 X+1 X X X+1 0 1 0 X+1 1 1 X+1 X X 0 1 1 1 1 1 1 0 X+1 1 0 X 0 X 0 X 1 X 0 1 0 X+1 X 0 X 1 0 X+1 X X X X+1 1 X X+1 1 0 X 1 1 0 1 X+1 X 0 1 X 0 0 X+1 X+1 X X X 1 X+1 X X 0 X+1 0 0 X+1 0 X 1 X 1 1 X 1
0 0 0 0 X 0 0 0 0 0 0 X X X X X X X X X 0 X X 0 X X X X X 0 0 0 X X 0 X 0 0 X 0 X X 0 0 0 X X 0 0 X 0 0 0 0 X X X X 0 X 0 0 X 0 0 0 X 0 0 0 X 0 X 0 0 0 X 0 0 X 0 X X X 0 X 0 0 0 X X 0 X 0 X X X
0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X 0 X 0 0 X X X X 0 X X 0 0 0 0 0 X 0 X X 0 X 0 X X 0 0 X X 0 X 0 X X X 0 0 0 0 X 0 X X X X 0 0 X 0 0 X X 0 X 0 0 X
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X X X X X X 0 X X X X X X 0 X X X 0 X 0 X X X 0 X 0 X X X X X 0 X X X 0 X 0 X X X 0
generates a code of length 97 over Z2[X]/(X^2) who´s minimum homogenous weight is 88.
Homogenous weight enumerator: w(x)=1x^0+113x^88+275x^90+272x^92+294x^94+232x^96+212x^98+144x^100+120x^102+107x^104+83x^106+54x^108+58x^110+25x^112+38x^114+10x^116+8x^118+2x^120
The gray image is a linear code over GF(2) with n=194, k=11 and d=88.
This code was found by Heurico 1.16 in 1.08 seconds.