How to survive the heat death of the universe?

The eventual heat death of the universe is an awful time to be alive considering you wouldn't have long left after the last star finally fades away.
In this scenario there is a small group of about a dozen human survivors who live in a colony on an earth-like planet that orbits the last star to burn out. The group know of their impending doom and have time to prepare for it, about 10 years (but feel free to adjust this time if you think of something cool).

Now I fully expect answers that lead to the eventual death of everything from this scenario but what would this group need to do in an attempt to continue existing for as long as possible in a universe with no heat?

Note: This would be trillions of years into the future so feel free to go a little crazy with future science, as long as it makes sense. It would also be interesting to see how a race of humans with current-day technology could survive in the same conditions.

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How to survive the heat death of the universe?

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