Moving multiple clips in the multitrack unsyncs them

I have a group of clips on two tracks that I want to move within the multitrack view. They move as a whole, but unsync from one another when snapping to other clips. These have all been razored collectively, there is no reason for them to not snap together. Turning off snap to ruler helps a bit, but it still doesn't work. Why is this a feature and how do I turn it off?

Grouping doesn't help. It should, but it doesn't. The top clip seems to snap correctly, but then the bottom one is still free-floating.