This is the itinerary we'd recommend if you only have 14 days in the Philippines.
It includes:
Palawan: El Nido, Coron, Puerto Princesa
Cebu, Moalboal
Bohol
This itinerary excludes:
Siargao, great for surfing but adds ~3 days to the trip.
Siquijor, a beautiful island south of Cebu, adds ~2-3 days to the trip.
Multi-day sailing trip through Linapacan Islands to go from Coron to El Nido. It adds 3D2N.