I would agree that 27lbs is quite alot of lead for someone of your body type wearing a 6.5mm wet suit but I wouldn't worry to much about it in the begining. Many people require an excessive amount of weight when they first start diving, things like fear, excitement and anxiety can lead to bad breathing control which can adversely effect ones buoyancy. If your equipment, specifically your suit, is new that can have an effect on your weighting as well. A new wet suit is more buoyant then an older, used, one. As the suit is repeatedly compressed during the dive it looses some of it's buoyancy and again you'll be able to shed a few pounds. As you gain more experience and become more comfortable in the water you'll gain more control over your breathing and will be able to start shedding some of that extra weight. Remember to breath slowly and deeply, work on your buoyancy control until you have it down perfectly, to move up or down in the water just slightly, say to rise enough to clear something small on the bottom, use your lungs instead of adding more air to your BC (take a slightly deeper breath then normal) and most of all practice, practice, practice. Start by dropping just a pound or two and see if you can still maintain neutral buoyancy during the entire dive, if that works dive for a while with it and then drop another pound or two. In time you'll be down to a reasonable amount of weight.
Scott