Commercial Fixed Wing
Flight Crew Air Transport Pilot (ATP)
Situational Awareness
ATC Issue All Types; Deviation / Discrepancy - Procedural Published Material / Policy; Inflight Event / Encounter CFTT / CFIT
Flight Crew FLC complied w / Automation / Advisory; Flight Crew Took Evasive Action; Flight Crew FLC Overrode Automation
Environment - Non Weather Related; Airspace Structure
Departed Runway 28 in MMGL (GDL). Non-Standard Departure on a heading of H260; due to Military Airspace lockdown to the north of the field. Right above 7;000 ft I received 'Terrain; Terrain' + GND PROX flashing + Terrain map on MFD turned red over a value of 9;800. I set Max Thrust and kicked the Autopilot OFF. Maintained 200 knots and present heading. Airplane transitioned from a 2;000 ft/min climb to 3;700 ft/min in a matter of a few seconds. Looked outside again to locate the terrain; however no mountain/terrain in-sight. Visibility was hazy due to yellow fog in the region. Heard the EGPWS warning only once; reacted to it and never received it again. Flight continued normally. MMGL should try to avoid assigning this heading on departure. Captain requested the published departure on clearance and got DENIED. Reason was 'Military Activity' to the north. We believe that Departure Control was late to turn us to the North; which in a sense got us going west-northwest; probably longer than we should have. The published departure has a great DME ARC that keeps you away from this high terrain for a very good reason.
Air carrier First Officer reported taking corrective action after the Enhanced Ground Proximity Warning System was triggered due to a non-standard departure.