As chef points out laptop drives can't go that fast.
They are limited to 8X for DVD (24X for CD), it's a rotation speed issue, and relates to how well the disc can be clamped to the spindle motor.
If you need faster speeds you will need to get an external half-height drive.
Or perhaps we misunderstood the original question. Are you saying that discs burned at 16X on some other drive will not read at all on this drive?
If that is the case, knowing what brand of media (Media ID), and the make/model of the burning drive might be helpful. What happens if the discs are burned more slowly.