Flightradar24 has released their raw data,
here.
The data samples suggest that take-off power was applied at around 23:12:43 UTC as the aircraft had turned onto heading 090 (presumably the actual heading of 07L?) with a speed of 20 knots.
Six seconds later it had reached 46 knots and fourteen seconds later at 23:12:57 its maximum speed of 78 knots. From there it decelerated in 9 seconds to 2 knots, its heading essentially unchanged at 086 degrees.
As a guesstimate, the fault happened somewhere at the 46 knots point and it took a few seconds before the crew was ready to cut power and hit the brakes, airplane still accelerating. That would imply alarm-to-full-stop in approx 16-20 seconds. Pretty quick reactions and decision making I'd say?