With Qatar Airways Qsuites.
How to Book
Available from September until mid-March 2022
There seems to be a minimum stay requirement of 7 days.
Note: Not all flights between Doha and Cairo are equipped with Qsuites. You can check via Google Flights or Qatar Airways website if the airplane is equipped with the Qsuite cabin.
Here's an example with the Qsuite on all 4 flights: