Five pumpkins are weighed two at a time in all possible combinations. The results of the weighings gives nine different values, similar to the second Pumpkins puzzle.

But this time the repeated weight is omitted from the list. The eight distinct weights are 24, 28, 30, 34, 36, 38, 44, and 50 kilograms.

Determine the weights of the pumpkins and the omitted weight.