I was asked the question " Is there any way to pull my photos from Twitter to my phone or drive or anywhere? Phone stolen and images lost!"
The first thing that I'd be inclined to do would be to visit Topsy.com and do a search for the users (ie. your) name, and then limit the search to images and choose 'all time' as a second option. This will pull up a lot of images - some that are linked to you, others that you have posted for yourself. Alternatively, go to Twitter's advanced search option, run a search for tweets from the @account and although you'll get everything, it should be possible to pull out the images that you need.
Alternatively, go to Google and do a search for site:twitter.com @username and then search in images. Again, you'll get a bunch of images that don't relate entirely, since they may be images from other tweets that reference you, but it's worth a go.
Once you have a page of images, it's going to be a pain to download them all one after another, so it might be worth trying a browser add on called Download Them All (search for the name and append your preferred browser to get a link) which may well let you just grab the lot quickly to enable you to go through them later. I've not tried this on a bunch of search results, but it may work.