There is the Munro's record, now standing at 32
But they don't all have trigs on top.
Most trigs in 24 hours sounds like fun logistical problem! I suspect the actual effort would be less interesting than this cracking attempt.
I'm not especially familiar with UK trigs, but Canberra is full of them - they even have their own
Facebook page.
Your trigs look like constructivist art installations.