This says that lipo uses jst-xh or align style balance connection -
http://www.spcracing.com/index.php?productID=85
I use a pair of Hyp chargers and have that adapter (as well as all the others) - its supposed to work with that lipo but my 4S connection only has 5pins, not 6. The TP adapter HP-LBA10-TP) has 6 pins, but its a much smaller receptacle and wouldn't fit something the size of the jst-xh male end.
Somethings changed, you need t get in touch with SMC and see what they can tell you. You have the 'correct' adapter per the catalog.