Or at least he did back in 1996, when he introduced the "Drug Importer Death Penalty Act." I'm surprised this hasn't gotten more play in the media than it has. (H/T Jonathan Adler). The full text of the bill is here.
Now I see why South Carolina loves this guy.
UPDATE: Paul Horwitz raises a good point.
There is absolutely no reason to believe that Gingrich meant it then, that he means it today, or that he will mean it tomorrow. True, there is also no reason to think that he wouldn't denounce such a law today, champion it tomorrow, and go back to denouncing it on Wednesday. But I hardly think we can blame Gingrich for his views on any particular occasion, or at least not for long. That would be like blaming the wind for blowing in an easterly direction in the morning, when you know perfectly well it will blow in three other directions by sunset. Let's be fair.