Why bother? It has been done without success.
Well, tachyons are particles that increase their velocity when they get lighter. They are only theoretical at the moment, so, it’s like trying to detect neutrinos in your backyard without knowing what they are, where they come from, and what reacts with them.
I don’t think it has been proved that they exist so creating a detector would be impossible. But I looked up wikipaedia and here’s the link.
Here’s a pretty interesting article from 2003 which is pretty informative. It also has some references which may be useful.
If you are a graduate student, then I can offer some insights, otherwise my suggestions will be meaningless if you do not have a sufficient grasp of particle physics and general relativity.