The recent driver is here: -NEW- Intel® Graphics Test Driver for Windows® 10 and Windows 7*/8.1* [15.40.4473] | Intel® Software
However it supports only Skylake officially.
You can check the status of Vulkan and more with: GPU Caps Viewer 1.30.0 Released With Vulkan Support – Geeks3D
I see the verbiage for platform 'support' isn't clear enough for 4404 and we're rectifying that. The "Vulkan support" is not official, hence only included in the Beta driver where it was called out  and I believe we're going to pull that driver soon as well to eliminate further confusion.
The unofficial Vulkan 'support' is for ONLY 6th Generation (aka Skylake) platforms, while the driver itself installed on all the platforms listed in the driver support page.
but will the Vulkan driver be available also for the Braswell processors, like the N3150?
That would be very awsome! I would like to experiment with it, take one of those SDK (LunarG for example), and try some coding.
I have to decide if I shall keep that ASRock NUC BeeBox N3150, or choose another one, which supports Vulkan.