No driving ban without measuring according to Tacho?

Dear biker community! today night on the way home via the city highway faster and promptly came the light sign “Please follow”. To the facts: highway was completely empty and then I thought you can try for a short time how fast it is with the throttle (Zx6r G model)! I said I drove 145 km/h in a short time. When I suddenly saw a car in the mirror with the same speed I reacted immediately and braked to 100 km/h at allowed 80 on the highway. When I saw the patrol car on the left of me, it was all clear to me that they pulled me out. The policeman meant that they followed me at a constant speed and had 150 km/h on the speedometer. He said however that they accused me of only 120 km/h to my favorite. Speak 3 points, 1month driving ban and 160 € fine. Since I drove only for a short time so fast and the policemen hardly followed me in sight, without photo, without measurement The question arises if I would get through with a protest? Because apart from the statements of the policemen they have nothing in their hands?! Wish you a Sunday Tuesday dear greetings Paule