PCB Antenna design

I have developed a chessboard using an RFID reader which uses an external antenna. The unique design of the system is the use of only one reader module. I made it so that it can scan all 64 squares of a chessboard fitted with an antenna. By scanning each square it can then identify the chess piece on that particular square. see here.
My concern is I have to make antenna coils for each of the 64 squares. Is possible to just make a pcb antenna? I can physically make the board but I have no idea how to calculate for the required 1.38uh.
Any suggestions?

There used to be some software floating around, by NXP i think, that could do this, but it’s been discontinued.

Your alternative is to design it yourself with the multitude of online inductance calculators such as this one