From what I understand, most fuses are either powered all the time, or switched with the ignition. Are there some that stay powered for a few mintutes after the car is turned off?

I've noticed that the LED on the gear stick stays lit for only ~15 minutes after the car is shutoff. I'd like to tap into this LED so that I can keep a gizmo powered for only ~15minutes after the car is shutoff and then it would turn off automatically.

Thanks

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'10 X6 5.0i with 7RR Performance Package
'04 X5 4.4i with staggered 20" #168