The maximum primary patients allowed by the ACGME IM RRC for one intern is 10, and for a senior resident overseeing 2 interns is 20.
The lowest cap I've heard of for # of primary patients is some of the Kaiser programs in CA where the cap per intern was set at 7 and for a senior resident overseeing 2 interns was 14. Note that I interviewed at those programs 4 years ago, so it may have changed in the interim.
A good range to expect is probably from half the cap to the cap, so an intern carrying 5-10 on average at a program with caps set at ACGME levels. Sometimes you get lucky and dip below half the cap depending on how your programs call is set up, but don't expect to live there.
There's no cap on consults. There's no separate, lower cap on ICU (though many programs do set a lower cap on ICU, because an intern carrying 10 ICU patients is just asking for major trouble).
Personally, I think 10/20 is a perfectly fine cap towards the end of the year, but is a bit difficult for brand new PGY1/2s. I had the maximum caps all through my residency and a lot of us did have to stay pretty late the first few months of the year. My preference if I had been in charge would be to set up graduated caps, something like 8/16 the first 4 months, 9/18 the next 4 months, and 10/20 the last 4. But no one really asked me.
OTOH, 7/14 forever sounds way too cush to me to get a strong education, but what do I know?