The uncertainty came from the residual of linear fitting and based on my estimation,

ROC_ETMY = 59.3 +/- 0.1 m.

And I attach the updated figure of the fitting (with residual zoomed up).

Data points in the lower are (intentionally) slightly shifted horizontally to make it easy for us to see them.

It is hard, I think, to estimate the error of each data point, but I used 17 kHz for the errors of all data points; 17 kHz is the error of FSR estimation of this measurement, and since FSR is the distance between two carrier peaks we can consider that HOM distances, which are the distance between carrier peaks and HOM peaks, have similar order errors comared with that of FSR.