All you have to do to clear your name for that crime is to turn over your DNA to the police to be in their records forever[1], and Bob's [2] your brother [3].
[1] - You might be able to get a court to order that your DNA records are destroyed after proving your innocence, but it's an ask to believe this would actually happen in every case.
One of your brothers committed a crime.
The police, during an investigation, find your father's data and realize that one of his children is the criminal.
Congratulations! You are now the target of an investigation, the purpose of which may not be to find the truth, but to successfully convict a suspect.