No, clocks run faster at 14,000 ft than they do at sea level, due to them being further away from the Earth's centre of mass.

General Relativity tells us that clocks in a stronger gravitational field will tick at a slower rate. Special Relativity tells us that moving clocks will appear to tick slower than non-moving ones.

GR predicts that the atomic clocks at GPS orbital altitudes will tick faster by about 45,900 ns/day because they are in a weaker gravitational field than atomic clocks on Earth's surface. SR predicts that atomic clocks moving at GPS orbital speeds will tick slower by about 7,200 ns/day than stationary ground clocks. The net result is that those clocks tick faster by around 38,000 ns/day than stationary ground clocks (or at least the first one did! They adjusted the clocks of all but the first GPS satellite to compensate for GR and SR - they set their clocks slower before they are launched so that they run at the same rate when they are in orbit as stationary ground clocks).