Hard Aptitude Number

Can you solve this amazing hard number series problem?
7, 8, 10, 12, 16, 18 ?




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There are people and strange monkeys on this island, and you can not tell who is who (Edit: until you understand what they said - see below). They speak either only the truth or only lies.
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What is the word or phrase?


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Amazing Facts

No Solution

In 2007, a puzzle was released and $2 million prizes were offered for the first complete solution. The competition ended at noon on 31 December 2010, with no solution being found. Wiki