From the data returned by Twitter the tweet text only includes a shortened link to the image. Image data is returned from Twitter but isn’t straight forward to get to. Currently TAGS default is to store all this data in the entities_str column. Some guidance on how you can extract this is in this thread https://tags.hawksey.info/forums/topic/displaying-embedded-images/ .
If you get this working please share as I’m sure others will be interested in how it is done 🙂