You need a good story. Hopefully you never admitted anything during your arrest and interrogation. If you did then you are stupid and you are doomed.
If you were wearing your running shorts and shoes then you can say that you were out for a run, had stopped to take a rest and then starting running again. At some point during your normal run these thuggish bike cops stopped you and accused you of ignoring the other cops who you had never even noticed.
Explain in excruciating detail of how you were following the Galloway method employing precise jog, walk, stop, vomit, stagger, repeat while you were training for your next marathon and that you hope to improve your PR by 37 seconds to get a sub 4:30 and hopefully qualify for Boston in two years if you can just maintain your training program.
Never stop to breathe during your testimony as this will prove your fitness and endurance. As long as they didn't check your alcohol level you can attribute your strange behavior to fatigue.
You can easily win this.