I know what we did wrong.
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Mobs
Mobs spawn no closer than 24 blocks, but no further than a 272 x 272 area around the player's location (within a box of 17 x 17 chunks with the players current chunk at the center).
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We need a larger island - I've made the island a bit larger (took me 10 minutes with the dirt from the base, hooray I found a use for it), and mobs are spawning now.