I'm mounting a pull-up bar (see image below) by means of 3/8" lag screws in wooden studs. I messed up one of the top holes (missed the center of the stud - the bolt went in partially & then veered off to the side significantly). I'd like to re-mount the bar as close to its original vertical position as possible. What's the nearest vertical distance from the previous lag bolt holes that would be safe to put new ones? It's a load-bearing (exterior) wall, and the bar extends out 33" from the wall, so it will have significant pull-out force.
(If I move the bar up significantly higher, it will be difficult to reach for the shorter people in the house; if I move it significantly lower, my feet will hit the ground. Thus, as close to its previous location as possible - without compromising the integrity of the stud - would be ideal).