The old ouija board tells me that Caronia was evidently the Cunard liner with the most boats. She had 27, supposedly enough for 1,388 people. I don't see one with 28 in 1912. Funny that Caronia had an odd number.
I've tried to work out how Carpathia could have carried "boats for all". It's not easily done, because of the way her bridge break up the boat deck. The results are not encouraging and look something like this.
She would have needed 16 pairs of davits, all with two boats under them, plus two small emergency boats. She then needed rafts for an addtional 712 people.
A popular legend is that the new rules required "boats for all". They didn't and they still don't. It's always been permissable to carry boats for only 75%, plus a certain number of rafts. Because Carpathia was so short, relative to her passenger numbers, she would have used the 75% rule. It would be that, or three boats under each pair od davits. Whatever they did, it would have been utterly impractical.