I think it would be hard to get 13 people to jump on one jump rope. But dogs are much better at being trained and this proves they can do just about anything. See these 13 dogs jump rope in unison.
According to the Guinness Book of World Records, the dogs perform the act in Uchida Geinousha's 'Super Wan Wan Circus' based in Tsukuba City, Ibaraki Prefecture, Japan. The dogs now hold the record for most dogs skipping rope.
I'm looking forward to an encore double dutch version.