They have lots of experience with AMS and HAPE hospitalizations at "only" 10,000 ft.
Look how long they recommend for proper, full acclimatization for Whitney-like heights. Harvey


Indian Armed Forces Acclimatization Schedule

Adapted from Deshwal article in Wilderness & Environmental Medicine, 23, 7-10 (2012)

First stage : 6 days, 2,700-3,600m (8,900-11,800 ft)

Days 1-2: rest except short walks about barracks, no climbing.
Days 3-4: walk slowly for 1.5-3km (1-2 miles), avoid steep climbs
Days 5-6: walk up to 5 km (3 miles) and climb slowly up to 300m (1,000ft )

Second stage: 4 days, 3,600-4,500m (11,800 - 14,700ft)

Days 1-2: walk slowly for 1.5-3km (1-2 miles), avoid steep climbs
Days 3 : walk slowly and climb up to 300m (1,000ft)
Days 4 : climb 300m (1,000ft ) with equipment

Third stage: 4 days, > 4,500m (14,700ft )

Days 1-2: walk slowly for 1.5-3km (1-2 miles), avoid steep climbs
Days 3 : walk slowly and climb up to 300m (1,000ft)
Days 4 : climb 300m (1,000ft ) with equipment