First saw this 30 years ago - did it in Basic at the time. Two solutions - the pedantic one, where you include the source in constant declarations, then the code that prints the constants twice, once with declarations around them.
The other - an empty program. Run it - nothing. List it - nothing.
If the author sees this - "quine" should be capitalized, as it's named after a real person (a philosopher - quite a good one). Like "Volts", for example.
[update] Hmm, although both Wikipedia and GEB use lower case. But in GEB it's lower case because it's a verb (quining). Not sure it's used as a noun - (there are index entries for "Quine" and "quining").
[And edited to add caps as i guess otherwise someone will complain]
I'm not sure there's a real hard and fast rule, but once a word becomes separated from the person, it doesn't really make sense to capitalize it like a proper noun.
Compare "Keynesian economics" with Dr. Guillotine's invention the "guillotine"
OK, so I guess what I am saying is that I do not think it is separated yet. The relationship is very close (because of the precise meaning) and the guy only died a few years ago (well, 12).
If the running program has to get its source code from some external source like a file, it's generally not considered a quine (consider a Turing machine -- its state transition function is not written anywhere on the tape).