Thanks for your efforts!! The turtle doesn't come into the culture at all. have a look at this image:
http://www.stats.govt.nz/~/media/Statistics/browse-categories/people-and-communities/maori/te-waharoa/tewaharoa_01.jpgThis is one of many.......but without the full designs on it (as each design is specific to a tribe. We just think the shape in a modern way with maybe some subtle design on it? maybe.......We don't want the logo to represent an activity but to encompass family........hope that makes sense.