The problem with the Veyron is that if the suspect can elude them for 20 miles, the Veyron runs out of gas.
12 minutes is enough for the Veyron's 26.4 gallon gas tank to run dry. However, your vehicle would have to go faster than 431 KPH (268 MPH). Kind of like being the gazelle chased by a cheetah ...you only need half a minute of endurance before the cheetah is too tired to continue chasing you, but the problem is the cheetah only needs ten seconds to get you.
As an aside, there are very few roads (and fewer sober drivers) that can allow the Veyron to achieve its top speed.