Pair sums

Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

Problem

Five numbers are added together in pairs to produce the following answers:

 

$0, 2, 4, 4, 6, 8, 9, 11, 13, 15$


What are the five numbers?