Yes, the NUC7i7DN* is supported.
It’s what I’ve been using for my personal system for the past few months, too, and it has been trouble-free.
Intel did a great job–4 cores/8 threads, but also great single-threaded performance (up to 4.2GHz IIRC), and all of that in a 15W TDP for the CPU. Incredible performance/watt.