Change radial spacing of hole pattern extrusion

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Hi all,
I have a fairly complicated hole pattern (hexagons with a number of parametric relationships) that I want to extrude through a flat circular plate while "contracting" the pattern radially, so that the hole centers end up being closer together while the integrity of the pattern and hole diameter is preserved.
I have attached a screenshot of a much simpler mock up part I have been trying to find a viable method to achieve this on. I've been experimenting with using a sweep with a guide rail to force the pattern to contract through the extrusion, but it also decreases the size of the holes and fails because it says the path doesn't intersect the profile, and the rail doesn't intersect the profile (even though they both intersect a hole center).
Any ideas?
Thanks very much!