Carolina, of course with what we are doing any good bullet should be accurate enough. But I would wonder about a bullet that keyholes at a rather short range.
I would check the bullet diameter to be sure it was proper - .357 or better, .358. The 160 should be long enough for good contact but, so . . . It may be that the bullet is too hard so it isn't fitting in the barrel as much as is needed for good accuracy.
Some do like a little more "roll" but most find the 125 grain loaded a little warmer to work well for that.