Twitter's "stories," called Fleets, let you post content that disappears after 24 hours. But if you want, you can mute certain people's fleets.

Unfortunately, at this time, there is no way to mass mute all Fleeds on Twitter. Your only option is to mute them manually – from individual accounts one by one.
To do this, open Twitter on iPhone, iPad , or Android device. Go to the top of the Home tab to see Fleets from those you follow.
You can mute the Fleets of someone who has made a recent post. So go to Fleets at the top of your Twitter feed

To mute a Fleet, long-press on a profile 's Fleet to reveal hidden settings. Tap “Mute @ (Twitter account)” where “Twitter account” will be the profile you want to mute.

Tap “Mute Fleets” to hide this account’s existing and future Fleets, or “Mute Fleets and Tweets” to hide this person ’s tweets as well .

Twitter will permanently disable Fleets from that profile and they will no longer appear in feed . Just like when you mute a profile's tweets, Twitter will not notify the user when you mute their Fleets.
To unmute someone, visit their Twitter profile and then tap “Unmute” next to the message “You Have Muted Fleets From This Account.”

Twitter doesn't remove the space it has created for Fleets, even if you mute Fleets from all the accounts you follow, so unfortunately it will still take up space in your feed.

Source: howtogeek.com
