In the circle of numbers below each adjoining pair adds to make a square number:

circle of numbers from top going clockwise: 14, 2, 7, 9, 16, 20, 29, 35.

For example,

14 + 2 = 16, 2 + 7 = 9, 7 + 9 = 16

and so on. Can you make a similar - but larger - cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

Numbers given: 2, 3, 4, 5, 6, 8, 10, 11, 12, 13, 14, 15, 7, 19, 21, 28, 30, 34