Could a gas giant have two earth sized moons in binary orbit around it

I'm trying to create a system where a gas giant has two moons in binary orbit with each other. I'm trying to get that James Cameron look with the gas giant on the horizon, but also have a equally sized moon there two. I don't like the idea of a horse shoe orbit as that would mean the other moon would be not in view for months to years at a time. Would a gas giant with a pair of earth sized moons in binary orbit be possible. If so what would be some complications with such system.

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Could a gas giant have two earth sized moons in binary orbit around it

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