From Sci-Fi Wire:

SCI FI Channel’s original series Battlestar Galactica has been honored with the prestigious Peabody Award, which recognizes distinguished achievement in electronic media. It is the first Peabody Award for the network.

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This is pretty rare for genre programs. A quick and dirty search found only Star Trek: The Next Generation and The X-Files as past winners of the award. How “The Twilight Zone” got passed over back then is beyond me.