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Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

In a sequence, every term after the second term is twice the sum of the two preceding terms. The seventh term of the sequence is 8, and the ninth term is 24. What is the eleventh term of the sequence?

(A) $160$ (B) $304$ (C) $28$ (D) $56$ (E) $64$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.