If I am wrong than why does MITs own graduate website clearly state that there is no minimum GPA or GRE score? And why does it say also say so on the handful of Dept. webpages I just looked up (although some state that admissions are competitive, hinting that high GRE scores might be to the applicants advantage)? I have spent almost five years now researching the MIT application process through information found on their own website, through their own admissions blogs, through books and websites written by graduates, etc. Everything indicates, if not flat-out saying, that MIT does not want perfect students, that their whole educational model is based off stumbling, picking yourself up, and moving forward, and that they want to train you to think like engineers/scientists/etc.
As I am sure you know, a strong SOP and solid research experience can trump GPA and/or GRE score. I was only trying to give the OP hope, not mislead. But as I wrote, my information is based on actually looking into it over the span of some years. I chickened out on applying to MIT as a freshman because at the time I believed I absolutely did not have a shot (because, among other things, I didn't build a robot when I was 12 or win a national science/academic competition in high school). I wanted to apply as a transfer student (after which I had built not one, but two, robots that competed in competitions; beating out MIT both times), but didn't because I contacted admissions and they straight-up told me, based on my college record and experience up to that point in time, I should wait and apply to grad. school [at MIT]. When I took the GRE, and got slightly lower scores than the OP, I sent an email to the MIT Office of Graduate Admissions as well as a few potential advisors, and was told that everything was fine and to go ahead and apply. If I am wrong than I am either completely gullible or someone (including MIT) is lying.