Alex raises an important point and issue. Padi 10-12 year old has a depth limit. 13-14 does not. The only limit on the 13-15 is that they have to dive with an adult. I know this because this was an issue while my son was 13-14 and I encountered more than one dive op that was under the mistaken impression that the depth limit applied to 13-14 year olds. I had one dive op insist on showing me his PADI manual. The limit he referred to was while they were training and before they were certified. I have confirmed with PADI that the depth limit does not apply to 13-14. Nevertheless it is important to be aware of that A. some dive ops don't understand the limit and B. regardless it is within the dive ops discretion to impose a limit if they are not comfortable with a 13-14 diving at a certain depth. Definitely something to discuss with the op before signing up for dives. Enjoy.
For the 60-foot depth limit, I was relying upon this quote from LeRoy Wickham, Educational Consultant, Training and Quality Management at PADI:
"Since the inception of the junior diver certification, divers under the age of 15 have always been required to dive under the direct supervision of a certified adult. Furthermore, they're restricted to a depth of no greater than 18 metres/60 feet. Under the new PADI standards, children under 12 are subjected to even greater restrictions. First, they're limited to diving to no greater than 12 metres/40 feet. This depth ensures that these younger kids are subjected to only minimal decompression stress, thereby addressing concerns raised over the unknown, and possibly increased, risk of bends."
The quote is 3 years old so the rule may have changed in the meantime? Many people are confused on this point and would welcome some clarification.