There is no specific OOTB role for that.
You will have to create this logic yourself, using ACL's or query Business Rules.
However, without knowing you use case... I wouldn't recommend doing so, since this limits users significantly.
Think for example of users reassigning a task, cannot see it anymore, so no able to add worknotes or comments anymore, after saving.
Teammembers, not being able to pick up someone else's tasks during sickness.
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