According to Official Guinness Records,
The most consecutive Double Dutch-style skips by a team is 1,401, achieved by alttype (all Japan) in Kyoto, Kyoto, Japan, on 5 August 2012.
alttype team members are Fukutaro Sato, Hikaru Kawaminami, Jun Tanizawa, Ryota Mishima and Naojiro Ishikawa.
For a complete list of 2012 records, please visit 2012 Guinness Records in Japan.