The generator matrix
1 0 0 1 1 1 0 1 1 0 X 1 1 X 1 1 0 0 1 1 0 0 1 X 1 1 1 X X 1 1 1 X 1 1 X 0 0 1 1 0 X 1 1 1 1 1 X 1 1 0 1 X 1 X X 0 1 0 1 1 X X X 0 0 1 1 0 1 0 1 1 X 1 0 1 0 0 1 X 1 0 1 1 1 0 1 1 0 1 0 1 1 X 1 X 0 1
0 1 0 0 1 1 1 0 0 X 1 1 X+1 1 1 0 1 X 0 1 1 1 X+1 0 0 1 X 1 1 X X 1 1 1 0 1 X 0 0 X+1 0 1 1 X+1 X+1 0 X 1 X+1 1 1 X+1 1 1 1 0 0 X X 0 X 1 1 1 1 1 X 1 X X+1 1 X+1 0 X 1 X X+1 X 1 1 0 1 1 X 1 0 1 1 1 X X 1 X X+1 1 0 1 0 1
0 0 1 1 1 0 1 0 1 1 X X+1 X 1 1 0 1 1 1 0 X X 1 1 1 X 0 0 X+1 1 1 1 X+1 X 0 0 1 1 1 1 1 1 X+1 0 X 0 0 1 X X+1 X+1 0 X+1 1 1 1 1 X 1 X 1 X X+1 0 X X X 1 1 1 X+1 X X 1 0 1 1 1 0 X+1 1 0 0 X+1 X+1 1 X+1 0 X+1 1 1 X X 0 X 0 0 1 0
0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X X X X X X X X X X X X X X 0 0 X X 0 0 0 X X X 0 X 0 0 0 X X X 0 0 X X 0 X X 0 0 0 X 0 0 0 X 0 0 X 0 X X 0 0 X X X X X 0 X X 0 X 0 0 0 0
0 0 0 0 X 0 0 0 0 X 0 X 0 0 X 0 X 0 X 0 0 0 X X 0 X X X 0 X 0 X X 0 X X 0 X 0 X 0 0 X 0 0 0 X X X 0 X 0 0 0 X X 0 0 0 0 0 0 0 X X 0 X 0 0 X X X 0 X X 0 0 X X 0 X 0 0 X X 0 0 X X X X 0 X 0 X X 0 0 X
0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 X X 0 X X 0 X X 0 X 0 0 X X 0 X 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X X X X X X X X X 0 0 X 0 X 0 X X X X 0 X 0 0 X X X 0 0 0 0 X 0 X 0 X X 0 X 0 0 0 X X 0 0 X X 0 X 0 X 0
0 0 0 0 0 0 X 0 0 0 X X 0 X X X X X 0 X 0 X 0 X 0 0 0 X 0 X 0 X X 0 X 0 0 X 0 0 X X 0 0 0 X 0 0 X 0 X X X 0 X 0 X X X 0 X X X X X 0 0 X 0 0 0 0 0 X X 0 0 X X 0 0 0 0 0 X X 0 X 0 0 X 0 0 X X X X 0 0
0 0 0 0 0 0 0 X 0 0 0 0 X X X 0 X X 0 X 0 0 X X 0 X 0 0 0 X X 0 0 0 0 X X X X X X 0 0 0 X 0 X 0 0 X 0 0 X 0 X X X X X X X X 0 0 0 0 X 0 X 0 X 0 X 0 0 0 X X X X 0 0 X X X X 0 X 0 0 0 X X 0 0 X 0 X X
0 0 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 X X 0 X X X X X 0 0 X X X X X 0 X X 0 X 0 X 0 0 X 0 X 0 X 0 0 0 X X 0 0
generates a code of length 99 over Z2[X]/(X^2) who´s minimum homogenous weight is 88.
Homogenous weight enumerator: w(x)=1x^0+203x^88+260x^90+437x^92+404x^94+483x^96+398x^98+442x^100+326x^102+319x^104+236x^106+244x^108+108x^110+115x^112+50x^114+42x^116+10x^118+14x^120+3x^124+1x^128
The gray image is a linear code over GF(2) with n=198, k=12 and d=88.
This code was found by Heurico 1.16 in 21.4 seconds.