[Taqwus]

Turn 1 -- enter system at border (6 squares from center). Commence building empty SB on emergency build; SYIII = 2000kt/turn x 1.25 (e-build) => 2500 kt/turn, which is just enough. Turn 2 -- you have an empty SB shell. Refit it (using a refit chain). Turn 3 -- Your base should be repaired and operational (if you brought enough repair yards). Three turns is also how long it takes the black hole to drag you six squares (edge -> center distance), so it depends on the turn ordering as to whether you can pull it off. You'll lose the repair ships, I suspect, but maybe not the base.

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-- The thing that goes bump in the night