It's pretty easy to detect 14 W of typical forms of radiation at those scales! If it were light, it would be equivalent to the light put out by something like a laptop screen, spread out just a bit. You can see something like that with your eyes from a kilometer away!
I remember reading that, at close enough range, the neutrino emissions from a supernova would be intense enough to be dangerous to structures made of ordinary matter, despite the weakness of their interactions, and that they would reach an observer earlier than other forms of radiation due to their ability to escape the collapsing star relatively unimpeded. Neutrinos would be the least of your problems if you were the observer of course.
As I was trying to find a source for this, I discovered there is a unit [1] for the amount of energy released by a supernova called the Foe, which seems apt (it's an acronym derived from 'ten to the power of Fifty-One-Ergs').