What can I do to make range of reading wider?
Build your own device, with an emphasis on extending the range.
Is there any settings which can improve range?
Not at the SDK level. I cannot rule out the possibility that there is something at the OS level, but this would require modifying the OS itself and creating a ROM mod. And I would be somewhat surprised if this would help, as I expect the range will mostly be governed by the NFC receiver hardware, not driver configuration.