Isn't Tom Baker the eldest surviving?
In which case 4-11 sounds good.
What of companions? I should probably watch every episode up until the reboot, but that would probably take several months solid.
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You may be done in time for the anniversary, get started. Also Patrick Troughton's son and grandsons are both actors and look just like him. They can get actors for the first 3 like they've done before in The 5 Doctors.