That twist rate with the velocities you have will not stabilize a 220gr bullet. And just to be clear, it isn't the weight, it is the length of the bullet.
Do some research on "The Greenhill Formula." Look for a program that calculates it and see what length bullet your rife will stabilize.
__________________
It all depends - the reason I say that is because a heavier bullet has to be longer to hold the weight. So it stands to reason that the heavier bullet will be longer and easier to stabilize from the standpoint of a boat tail bullet - which is more aerodynamic - but not all hunting bullets are boat tails.
I used this analogy on another forum and got flamed for doing so.
By using the Greenhill formula - we know that the twist rate for a 150 gr 30 caliber bullet flying 2800 FPS is about 10.9
That is the reason why Howa and some other manufacturers uses a twist rate of about 1:10 in their 30 caliber - 22 inch barrel.
http://www.chuckhawks.com/rifle_barrel.htm
When you use a 180 bullet - you need a different twist rate to properly stabilize the bullet... There is all kinds of theory's on how fast the bullet is spinning when it is flying through the air and how much it spins when it hits the target and how little it decreases in RPM when it flies long distances compared to the velocity that it burns off while it flies through the air.
The 180 gr bullet in a 30-06 displaces some cartridge case capacity and so it cannot hold as much powder and so it cannot fly as fast as the 150 gr bullet can and so that is the reason why it holds more energy down range - but flies slower then the 150 gr bullet.
The US Military found this out way back in 1905 and modified the 30-03 to be a 30 caliber round with a 150 gr bullet - adopted in 1906 - hence the rifle it was shot out of was called a Springfield and the name stuck. 30-06 Springfield.
The original round was designed to replace the 30 Military - 30/40 Krag - which was a smokeless powder cartridge, that was only used by the US Military for about 16 years from the time it was developed until it was phased out and the 30-06 was brought on board.
The original 30-03 was designed by people who fought in the US Civil war and did not understand that it did not take a large bullet to kill or injure a human. The original round used a 220 gr bullet and did not perform any better then the 30-40 Krag that it replaced.
http://en.wikipedia.org/wiki/.30-40_Krag