Here's what I've read and seen - The Barnes bullets can be a different animal to shoot and reload.
1) Some rifles shot them OK but many rifles didn't shoot accurately with the all copper X bullet, introduced in 1989, due to the variartion in the bore/bullet diameter tolerences. Usually this was a bore toward the minimum diameter tolerence or a bullet toward the high end or both. Barnes solution in 2003 was to add 3 rings to the bullet so as to let the copper have some "flow" area along the side of the bullet - This change was called the triple shock X.
2) Barnes first marketed the all copper X bullet as to go down in bullet weight and drive them faster. Now, they have got away from this recommending heavier bullet recently, I think just to sell more bullets. I also think that the first description to lower bullet weight and drive them faster is more the best way to stabilize them.
3) Another thing I've read was where some reloaders got "out-of-the-box" and really increased the distance from the lands much more than one would normally try (i.e. 0.070"). AND guess what, they say this really worked in some rifles to improve accuracy.
Summary - If your not getting the accuracy results your wanting - Try experimenting with either a ligher bullet at a higher velocity and/or backing way off the lands. Hope this helps.