What are the mathematical odds of achieving a perfect game in hearts? (Shooting the moon four times in a row?)?

I accomplished this feat a few years while playing Microsoft hearts against the computer. Ever since my perfect game I've wondered what the mathematical odds were of winning in such a fashion. That is, assuming an average understanding of the game and a proficient technique at playing, what is the approximate likelihood of shooting the moon 4 consecutive times in the first four rounds of play for a score of 0 to 104 to 104 to 104???

If anyone knows a figure please share it. Or if there are any statistics experts out there I would love to hear your estimate of these odds.

Thanks!