Run your finger (very carefully so you don't cut it) along the inside of the tyre, over the WHOLE surface and make sure that there is no more sharp glass poking through, otherwise it will puncture the tube again as soon as you onflate it. Also, if it is a new bike, it might be a good opportunity to inspect/change the rim tape if its that crappy yellow plastic stuff that manufacturers insist on using, as it will disappear into the spoke wells and create 32 nice little bulges in your tube that will blow