As far as I can tell, there isn't a 2.66mH transponder coil in the channel from any vendor. The recommended ECI part is a special order. With regard to standard offerings, 2.66uH is non-existent, and 2.38mH is available from several manufacturers. I'd be delighted to find out otherwise.
Does TI have any comment on changing the transponder coil and compensating for the resonant frequency with a change in the resonant capacitor?