Well, to my surprise, I still have my save files thanks to Steam Cloud, but since I solved the puzzle already, the game doesn’t allow me to solve it again. At least I could take a closer look and refresh my memory of the mechanics in question.
The original state is composed of all 16 blocks being present (activating the nearby switch makes all blocks reappear by reverting the puzzle back to its original state). Interacting with a block makes it disappear. The array in question is a square-shaped 4 x 4 one:
1 2 3 4
5 6 7 8
9 10 11 12
13 14 15 16
According to the hint in the screenshot you posted, there are only two possible solutions. I would try first to (only) make the blocks 2, 3, 4, 7, 8 and 12 disappear.
1
5 6
9 10 11
13 14 15 16
If that doesn’t work, try the other way around by (only) making the blocks 1, 5, 6, 9, 10, 11, 13, 14, 15 and 16 disappear.
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