In this scenario, the young male's death during exercise, coupled with a history of similar deaths among siblings and septal thickening observed in gross morphology, points toward a hereditary cardiac condition. The most common cause of such presentations is Hypertrophic Obstructive Cardiomyopathy (HOCM). Let's examine the key factors leading to this conclusion:
Based on the provided evidence and clinical characteristics, HOCM is the most likely cause of death in this case, distinguishing it from other conditions like Dilated Cardiomyopathy, Restrictive Cardiomyopathy, or Viral Myocarditis, which do not fit the profile as clearly.