Newborn piglets born in the run-in. How soon to let out?

This is our first litter of piglets. They were born in the run-in that the pigs and goats share. It's divided into 2 stalls and I have put a gate across the opening to the side they are in to keep the piglets and mom in and keep curious goats and pigs off the babies. They're so tiny!

How long do I need to keep them in? Will the other pigs instinctively be careful of them? They're little enough that a hawk could easily take them. The pigs are American guinea hogs and the goats are Nigerian dwarfs.

New born piggies are small, and subject to chills.....however, mama knows best. As long as it isn't raining a cool rain, or blowing with chilly night air, I think that you could expand the pen so they could be outside some and get them used to whatever sort of barrier you're going to use.... then after a few days let them go! Give them some boxes or shelters to hide and play in.... an old truck canopy can work really well..... it also gives them a place in the shade or out of the rain. Put down some hay for them to snuggle in when away from mama.... But if she's a good sow she'll look after them well enough. I've had piglets born outside in the winter during snow, ice and minus temps.... the good mamas take care of them, the bad ones make you wish you had brought her in before she pigged.....