You may want to try playing around with the calculator at the Border Barrels site. I put in the measured dimensions of a Berger 68 grain and got the following.
http://www.border-barrels.com/cgi-bin/barrel_twist.cgi?diameter=.2426&length=.840&nose=.487&meplat=.078&base_diameter=.2426&angle=&boat_tail=&twist=14&secant_radius=&unit_length=inches&temperature=59&humidity=0&local_pressure=29.92&pressure=29.92&altitude=0&density=11.4&custom_density=
This calculator is suggesting a required twist of 12.5 to get a 1.5 stability factor. The graph at the bottom is suggesting a 14 twist will give you a stability of 1.2.
Berger says you need a twist of 13. That gives you a stability of 1.4 which is good. I think 1.5 is a little overkill.
The question is what can you get away with. I found out that in a hunting gun I had less twist than I though and had a stability of about 1.1, but when the temperature drops it goes close to 1.0, and groups open up to 2-3 times the size.
My thoughts are that you are on the edge with a normal flat base 68, but probably can get away with it.
Berger makes a high BC 69 grain that is quite long. That one may not fly for you. It works in my 12 twist, but I suspect is getting close to the limit.
Not sure if you have the means to measure it but throat length is the other issue. With a 14 you will be stuck with the lighter bullets. Did they shorten the throat so you can still make the lands with the lighter bullets? It is a bit of an issue in my Savage. That 69 grain for example is seated so far out in the neck that I can easily pull it out of the neck of a loaded round with my fingers. It still shoots quite well, but certainly is on the limit of what I can do with this gun.
Hope that helps some.