Looks like a bit under 200km
Titles fight for attention, the most spectacular/salient ones win. Even here on HN, with much more sophisticated readers than general press/web have.
This is Red Queen effect:
"today's event will be the closest lunar perigee since 1993, at 221,560 miles (356,566 kilometers) from Earth."
On average, the Moon is 378,000 km away, and at furthest, it is 399,300 km away from the Earth's surface. So, yesterday's full moon was 6% closer than the average.
Update: I found a apogee and perigee calculator http://www.fourmilab.ch/earthview/pacalc.html
Last closest was in 1993, which was also a full moon.
Mar 8 8:36 356529 km ++ F- 1h
Yesterday's in 2008 :
Dec 12 21:38 356567 km ++ F+ 4h