17 constitution. Lets assume you want an 18 by the end of your career, and a 17 at the start of epic tier. That just requires you to start with a 14 and bump it twice, or a 16 and never bump it, leaving you with 4 to 6 discretionary points to place wherever you like.
Your numbers are out a little. You only need a 15 at 1st to reach 17 at 21st without bumps. So, it's even easier to qualify than you think.