I was doing this word problem for fun (a conundrum of sorts on a game) and I just cannot figure it out! I'm sure the answer is simple but I feel like I'm missing a step somewhere. This is the word problem:

5 Puppies were weighed on a scale. However, they were weighed two at a time, ten times total , so that every possible combination of two puppies was weighed. The scale had the following readouts for the pairs: 236 pounds, 244 pounds, 228 pounds, 250 pounds, 258 pounds, 230 pounds, 246 pounds, 238 pounds, 242 pounds, and 252 pounds.

How heavy was the heaviest puppy?