After you finish one of the Shooting Galleries, you will have the option to create a challenge. You can do that after a good run to challenge yourself, but more than likely, you will just want to grind this out. You best bet is to load up a Survival Gallery and put down the controller for the entire thing. You'll probably die in less than 90 seconds regardless of what gallery and difficulty you use. Now, create a challenge from that run and play the challenge trying to get passed the first few predators to survive a few seconds longer and pass the challnge. Repeat 14 more times to unlock the achievement.