I hate to say that. But high stats don't get you in automatically even with an application that has no red flags. Your application has to have something special, other than your stats. If every bit of your application is mediocre other than high LM's, you won't be successful. TBH, most schools don't care about stats over a certain threshold. At Tufts, LM of 75 is the same as 84. Even at most t10's, that's the case. The reason I say that is because on my interview trail, many interviewers commented on my high stats and told me how they discarded high stats people left and right because their application has nothing else, just pure blah.. That's mostly at t10's.