The discussion surrounding Swain's tweet led me to believe that the statute of limitations for consequences for the university was 4 years. I have no idea if that is accurate or not.
Actually Swain is correct. The reason for the Miami investigation dating back to 2002 is:
The NCAA's four-year statute of limitations doesn't apply when there is a pattern of willful violations that continues into the past four years. In the Miami case, the NCAA could investigate back to early 2002, which is when former booster Nevin Shapiro, now serving 20 years in federal prison for his role in a $930 million Ponzi scheme, alleged in a Yahoo! Sports article this week that he began providing Hurricanes players with cash, prostitutes, cars and other gifts.
-ESPN
