How to get rid of the shared links on the iphone 4?

On my iphone 4 in the shared links i have tons of twitter tweets and i want to get rid of them but i dont know how will deleting my account get rid of it

Added (1). Its in my safari

1. Tap and hold any icon on the home screen to switch to editing mode. This will cause all the icons to wiggle. Icons can now be dragged into a new location if desired.
2. Tap on the black "X" for each link you wish to remove.
3. Push the home button on the bottom center of the phone to return the home screen to its normal state.

I'm having the same problem. I need my Instagram and twitter to stop storing in the shared links, ive tried everything. Even seleting the app, It still will not clear the shared links section.