Create a feature in the RadTileList control that allows the user to select multiple tiles, but only one (or maybe, any number - it could be a property that is set for this specific kind of selection) per group.
This was first discussed on this forum thread: https://www.telerik.com/forums/multiple-selection-single-selection-per-group and it's the reason behind this feature request.
The current workaround to overcome this "issue" is also available through that link.