They did this on June 30, 1973. While it stayed in totality 10x longer than would have been possible on the ground, it did not stay for the entire path of totality. Look at the umbral velocity - only the bottom of the parabola is obtainable by even a Concorde.

http://xjubier.free.fr/en/site_pages/solar_eclipses/TSE_1973...