How to set longer wake screen lock delay on iOS 26.2?

Your iPhone has multiple screens. The Lock Screen and Home Screen. Which screen specifically are you referring to?

Your Home Screen can be adjusted at this path,

iPhone > Settings > Display & Brightness > Auto Lock > durations range from 30 seconds to never

Please review the screenshots.

Do you have any Attention Aware features enabled?

iPhone > Settings > Face ID & Passcode > Attention Aware > enable

Παύλο wrote:

I meant to say "widgets on the wake screen" and not "... home screen."

Sorry, there is no setting to keep the lock screen awake before locking again. You can certainly tap a widget if it shows something you'd want to open. You can move a widget to your home screen if you'd prefer the widget not disappear quickly --> How to add and edit widgets on your iPhone - Apple Support

Other wise, you can provide feedback Apple here --> Feedback - iPhone - Apple

Please follow this path,

iPhone > Settings > Face ID & Passcode > enter passcode > Require Passcode > depending on other features you have enabled, the timing may not be able to be adjusted.

If your passcode requirement cannot be modified, hold your finger on the screen and it won’t lock immediately.