Some strange answers here.
Historically, the 223 was stabilized in a 1-12 or a 1-14 .
That is the reason that the M16 was originally made that way.

Bullet stabilization per twist is a function of length and velocity; not weight of the bullet.
That is the reason that you get varying answers as to what will work and what doesn't.
This is why some guns will stabilize a 62 grain bullet with a 1-9 and some won't.
The Military tracer 62 grain rounds are long for weight and needed a faster twist to stabilize than the FMJ training rounds like the M193. That was the primary reason the military went to the 1-7.

A 1-9 will stabilize all other 62 grain bullets that are not a tracer.

Bullet manufacturer's will state specific twists required for large for caliber bullets like the 75 grain and up bullets in .224 cal. Heed their advice and you will be just fine.

If high power long range using these large for caliber bullets you will want a 1-7 to 1-8 twist. Otherwise a 1-9 will work just fine.

The downside to using a twist too fast is loss in velocity and premature barrel wear.

There have been reports of using 1-7 or 1-8 and shooting light jacketed bullets like v-max and having them explode upon exit of the barrel from over spinning.

My point is determine what you plan to use the barrel for and it will guide you to the twist you need. There is a reason why most commercial 223/5.56 barrels are 1-9 twist even though the "chart" crowd has to have a 1-7 twist.

Here is a link for determining barrel twist for different bullets: (Greenhill Formula)
http://kwk.us/twist.html

To prove this point those 77 grain Match Kings that many consider a 1-7 required shoot in a 223 will shoot just fine from a 1-9 223WSSM at a velocity 800ft/sec faster. In fact the Greenhill Formula says that it will take just a 1-13 at that velocity to get it done. The lower velocity in the 223 is a contributing factory to the faster twist needed.
The is almost the exact opposite issue they are having with the 6.8SPC. They went to a slower twist to gain a little more velocity because the 6.8SPC shoots light for caliber bullets.