To turn a design on the lathe accurately, you should make a RevolveGuide.
Make a duplicate of your revolve. Rename it ["PatternOriginalFileName.des"]
Open your turning profile.
Suppress the revolve in Features.
Make the profile sketch active.
Add a vertical line to the top of the profile closest to the axis. Hold the shift key to make a straight line.
Add a horizontal line from the top of the above line. Make it 20mm for a pen revolve.
Do the same for the bottom.
Add a vertical line from the bottom corner closest to the axis. Hold the shift key to make a straight line.
Add a horizontal line from the bottom of the above line. Make it 20 mm for a pen revolve.
Connect the two horizontal lines. It should be easy if they are the same length.
Delete the part of the profile between the two horizontals.