Summary
Bees can wander further than 22 blocks away from their bee nest in search of flowers.

How to reproduce:

1. Download and open the attached world.
2. In the attached world there is a 30-block tunnel with a bee nest at one end and a flower at the other end. The 22nd block is marked with a torch.
3. /time set night
4. Spawn a bee inside a tunnel.
5. Wait until the bee goes inside the hive.
6. /time set day
7. Wait until the bee leaves the hive.
   -> The bee wanders past the torch to the flower