gratz, actually it are 8x tiles
No, 7x is correct. 7x, 3x, and 1x are referring to the bonus amount you get from those tiles, not the total amount your factories/labs/etc. will produce there.
As for the topic, I've never seen two Precursor Mines or Libraries on a single planet, but that is probably because I've only played TotA in the last years. In TotA, Precursor Mines and Libraries are each limited to one per map.