Can I collect the last 40 tweets of every follower of a user without getting 'cut-off'?


My understanding is that I can only make 180 requests per user per every 15 minutes. I have a php script that gets all of a user account’s followers then makes a get tweets request for each of those users. It’s not an issue when the follower list is only a hundred or so, but it seems to cut out when I’m trying accounts that are just under 100K. Am I correct in saying that I am making too many requests and getting cut off? Is there anyway to get around this? Speed is not an issue and I am the only one that will be running the script. I’d like to run it a few times for some key users then save the output for display.

This is for a senior level self-study project for a university in Calgary, AB.