Instead of just posting links to your photos on Flickr you can share the photo you just uploaded as a native Twitter photo.
If
Any new public photo
This Trigger fires every time you upload a new public photo to your Flickr photostream.
Then
Post a tweet with image
This Action will post a new tweet to your Twitter account with a linked pic.twitter.com image. NOTE: Please adhere to Twitter’s Rules and Terms of Service.
Discover more time saving integrations for Flickr and Twitter