Hi Duka,
both will not work as drawn, but the 2nd one is easier to fix. (1st will also need a separate transformer secondary winding, and this being a custom built transformer, you order to your requirements and can get away without these voltage doublers)
Your -37V parts should also have another index than the upper +48V parts.
The lower (-37V) caps C5+C6 are polarity reversed.nonsense
For the lower (-37V) R10 trimmer as drawn make sure, this part is rated for at least 0.5W or use a 3K3/0.5W and 250R trimmer in series.
What's the connected load to this part?
As drawn, your wanted +/-16V supply you might measure +/- 12.7V. Maybe increase R6+R8 to 1K4 or use a 1K2 with 500R trimmer in series for a 13.75V to 18.95V range with your 16V target voltage at center.
With upper (+48V) current setting resistor R9 @ 120R for ~10mA, this 4K5 resistor has to stand 0.49W, so better use a 1W part.