What I can see them (hypothetically) doing is manipulating present-day financial markets by exploiting their knowledge of future events (e.g. sudden commodity shortages or unexpected mineral discoveries) to increase their wealth. Even small manipulations would produce large downstream gains due to compound interest.
So perhaps market data is a place to look for abnormalities - particularly in existing systems that look for signs of insider trading, or investment accounts/trusts that are untouched over very long periods of time. Of course, such data is usually protected and inaccessible anyway.