The story was that some 'anti-nuke' radicals detonated a nuke on a navy ship in Charleston harbor. It was another in the anti-nuke movies that proliferated during the Reagan administration.
That wasn't a miniseries, it was a TV movie called "Special Edition". The network ran disclaimers across the bottom of the screen all during it so that folks just tuning in wouldn't think it was a real news show.
It didn't work either considering that charlston's telephone grid locked up for hours during and after that show.
I have that on VHS at home actually. Not a bad film.
Of course nothing beats "The Day After"; that is a classic piece of anti-nuke propaganda.