#1. After using the zipline nearby, follow the straightforward path until you kick a door open and encounter a close scene with System X/ Alpha Ceph. There's a downed CELL trooper ahead by the toilet. Grab the blackbox from him.
#2. After getting datapad #8, continue to the main objective and you'll see some CELL troops getting incinerated. Pull up your nanovisor here and continue walking forth. You'll find a nanosuit upgrade inside the building to the left. Past that is a CELL weapon cache. You can pick up another datapad (#9) on the table in the building ahead, next to the ammo cache. The blackbox is located beside the corpse along the path, just outside of that building.
CELL Ammo Cache Datapad and Blackbox #04-02
#3. When you're near the pit vicinity, you'll find more Ceph targets here. Kill them all and find the controls to lower the pit gate. Head to the elevator and you should be able to pick up another blackbox from the corpse just outside the elevator. Just open your nanovisor to spot and tag this.
#4. After picking up the third blackbox, ride the elevator with Psycho. After reaching the laboratory, continue to the observation window and open your nanovisor. You'll be able to locate and tag the last three remaining collectibles. Go downstairs and find the fourth blackbox beside the doctor.
Blackbox #04-04 and Datapads 10 and 11