The text of tumble through says:
You Stride up to your Speed. During this movement, you can try to move through the space of one enemy. Attempt an Acrobatics check against the enemy’s Reflex DC as soon as you try to enter its space. You can Tumble Through using Climb, Fly, Swim, or another action instead of Stride in the appropriate environment.
This doesn't mention that it won't trigger reactions such as attacks of opportunity. However in Failure it states:
Your movement ends, and you trigger reactions as if you had moved out of the square you started in.
Which implies that success won't trigger those reactions.