Check on the ticket for the vehicle code you were written up for. Presumably it is:
316.191 Racing on highways
Section 1a and 1b define "drag race" and "racing", respectively. Read and understand these definitions.
"never broke the speed limit" -- doesn't matter
"didn't start from a stop" -- doesn't matter
"weren't side by side" -- doesn't matter, as this could be a result of winning/losing a race
Notice that in section 1b, preventing a vehicle from passing is one definition of "racing".
Don't use any of the arguments above, because they aren't relevant. Judge won't care, and will likely get upset, because you would be wasting everyone's time.
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One argument to use is that you were not aware of the other vehicle. It's not a race if you don't see the other vehicle. This is what you're supposed to say to the cop. (Yeah, I know, too late now.) But in your original post, you said it was you and a friend.
Paragraph 2a) says the fine is $250-$500, with license revoked for a year. Up to you and your family to determine if traffic lawyer is the way you want to go.
Don't count on the arresting officer not showing up, or the judge to be lenient.
Good luck, and let us know how it works out.....
PS I made it to 17 before my first speeding ticket.