Where is this terminal?
Solution 1:
That terminal's about halfway down the hallway between the elevator and the first of two security grids. Coming from the elevator, I believe it's on the left hand side.
Looking at your screenshot, on the map it's to the right of you; if you back out of the map you'd want to look to your left. It's on the wall between two red couches.
It should be highlighted with a circle when you approach it - if not, you might have missed a previous terminal or there could be some other issue.
UPDATE: Some users are reporting that the quest is potentially bugged - make sure if you start this mission that you run it through to completion before doing anything else!