Egg Drop with a twist?!

Tomorrow for Physics we're doing an Egg Drop. We are given 3 sheets of 8.5x11" paper and tape to hold it all together. We are given heights of 8ft, 16ft, and a drop from the top of a small stadium. Is this even possible? Please help!

Also, we can't use a parachute. :'( (xpost from r/HomeworkHelp)

EDIT: Today I dropped it from a height of about 8 ft. It worked, but the egg sustained a very small amount of damage. What would be the best way to cushion the egg without too much height?