Those are not yucky eggs but caterpillar poop!
They look like Gypsy moth caterpillars. There are blue dots on the dorsal surface and then red dots.
I wasn't aware that they ate spruce trees.
If they are, you have a method of control. They will over winter as dried soapy tan egg masses that look a little like dried foam. They are round at both ends. These egg cases can by soaked with a little kerosene to kill them or scraped off into a bucket and disposed of.
Gypsy moths, the females, do not fly very far. With that many caterpillars, they will spread like crazy. You could easily be looking at 2,000, 5,000 egg masses or more just from that tree! If you could eliminate half of them or three quarters of them, it could be a big help next year.