Why limit yourself to a badge to display your latest photos in Flickr when you can integrate the photos into an image gallery in your blog? If you use WordPress, you can use the FAlbum plugin to do this. Download the plugin from the Random Byte site and upload the files into your WordPress plugins directory.
Follow the instructions listed here, log into your WordPress site using the level-10 account (admin, if you haven’t changed it) and then activate the plugin. An FAlbum options tab will appear in your plugins page where you can specify the options.
What’s good about the plugin is that it caches data so that your gallery will still be available even if Flickr is down. If you want to check the plugin’s capabilities, visit my site’s photo gallery by clicking on the Photos link in the header.