Hello sir, thank you for using our products.
Unfortunately, we don't recommend this IC for new designs anymore, we would like you to please check the PN7160. As you may know, the standardized distance for reading is < 10 cm. If the sensitivity isn't enough after modifying the RF level detector. There isn't a lot to do with software.
I would recommend you to please check these antenna design courses: https://www.nxp.com/video/nfc-antenna-design-1-which-antenna-for-what-purpose:WHICH-ANTENNA-PURPOSE-...
And a great addition to this is our NFC Antenna tool. Unfortunately, it is only available for PN7120 and newer products.
Also, there is a great Antenna Design guide for this IC: https://www.nxp.com/docs/en/application-note/AN1445_An1444.zip
I'm sorry for not being able to provide a specific answer regarding your issue.
Best Regards,
Fabian