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16-bit accurate op amp

I have a ±10V analog signal that I need to buffer (G=1) with an op amp. The op amp needs to settle a 20V step input in approximately 1uS. I have looked at the TI web site and most of the amplifiers do not specify settling to 16 bit accuracy (0.0015%) so I was wondering is there a part that may not specify it, but could potentially be a fit for this application ?

Devices with low input bias current (<1nA) would be preferred.

Thanks for your help.