Well, what does the game have going for it? That would be the thing to spread around. I can't really answer that because I just started playing recently (the emulator, I mean, I played E&B back before EA shut it down).
I think one of the biggest things would be the nostalgia. You could try the Eve Online forums, I know there were many people that went to play Eve after E&B shut down, so that would be a good place to start.
But I don't think trying to start a viral trend on social media like youtube or whatever would do much good. It's an old game, with old gameplay, afterall. There's certainly an audience for old games with old gameplay (look at gog.com), but I've never seen any old games create much of a fuss in social media (probably the kind of audience that likes these games aren't too much into social media anyway).