Hey,
Yes, faster twists are needed to stabilize heavier bullets. In the .223 realm, 1 in 12 and 1 in 14 twists will pretty much stabilize up to about 55 grain bullets. 1 in 9 twist barrels will stabilize up to about 75 grain bullets, depending on bullet make or shape. And 1 in 8 twist barrels will stabilize the long range 80 grainers.
This is somewhat misleading because it's really a matter of RPM, which decreases as a bullet slows down. So, shooting a 62 grain bullet out of a 1 in 12 twist barrel may actually stabilize for the first 50 to 100 yards. But as the bullet slows down, it will become unstable. At first, accuracy will deteriorate, then the bullet may actually begin to tumble.
Also, there are no hard and fast rules, as bullet design and shape play a major role in what twist is necessary to stabilize it. That's why some 75 grainers will stabilize in a 1 in 9 twist barrel, while others will require the faster 1 in 8 twist.
Necessary twist rates vary from caliber to caliber. in .308 caliber, the most common commerical twist rates are 1 in 12 and 1 in 10. But if you're gonna shoot the long heavy bullets (220 grains), then you may need an even faster twist.
Hope I gave you sufficient insight here.
B. Noz.