I have hit 7,950 points a few times, including just this Friday. It's tricky, though, and I have no way of knowing when I'm going to get there. Almost always, I hit somewhere between the 7,500 and 7,950 when it gives me the message about reaching my limit.
The only thing that seems to be key, though, is to have at least one exercise that awards 450 points. Other than that, I haven't noticed anything that can help me achieve the maximum points on any given day. I can't even tell you how I did it on Friday.
Because the black banner is still just the black banner and the red numbers, if they show at all, cannot be trusted, I am not certain my numbers are accurate. With that in mind, I submit that these are my daily tokens earned so far this decade, as nearly as I have been able to decipher:
Wed, 1-1: 7,750; Thu, 1-2: 7,800; Fri, 1-3: 7,950; Sat 1-4: 7,800; Sun 1-5: 7,650
Enjoy!