I'm going to reply without reading Bob J.'s post first. Of course whatever he says is probably correct! :smile:
I'd analyze this rack as follows:
The 6 and 7 are tied up some but the 6 can be made in the corner, so I don't see it as an immediate problem to go after, especially since you have other issues closer to the cue ball. I'm looking at the 10 or 2 as my break ball, assuming they don't get moved. However, this rack probably can't be picked apart without rearranging the balls some. You don't have to go into them blindly, though. I'd start by recognizing an opportunity to remove the 4 and 14. My move would be to shoot the 13 and stun/draw back to graze the 5. I think this is a reasonably high percentage shot since the 5 is so close. You want to move the 5 away from the 4 and toward the 10. This will put your cb in a position to shoot either the 4 or 14. If you misplay the shot or just don't have a shot for some reason, the 15 is your safety ball. Keep that 15 there as long as you can while you continue to pocket balls in that cluster.
If you do remove the 13, 4 and 14, you may be able to bump into the 11 after shooting the 14. This will free up the 2 as a break ball, and might give you a next shot on the 9, which needs to be removed sooner rather than later. If I did have a shot on the 9 I'd use the 15 to get up for the 6 in the same pocket. (If you get the cue ball parallel to the foot rail with the 15 you can probably stun the cue ball up table and past the 6. If an opportunity came up to shoot one of the cluster balls and get easier shape on the 6 then I'd do that first). After getting the 6 and 7 I'd go back and see what is left of the cluster and deal with it at that point, but I'd think the rest would be makeable in one fashion or another.
Good post!