Introduction: Hypertension (HTN) is one of the primary risk factors for human mortality nowadays around the globe. Nevertheless, a large proportion of individuals with HTN are unaware of their condition. This study utilizes clinical screening results from Nepal within a framework of a nationwide Blood Pressure (BP) screening initiative. Within wide range of medical and health science applications, viscous blood flow and associated turbulence are ubiquitous phenomena. Objectives: Complex multiscale turbulence dynamics define the BP and blood-velocity turbulent nature, necessitating extensive experimental and clinical confirmation. The empirical observation of BP distribution tail exponentiality, which defies the commonly assumed BP normal distribution hypothesis, supports the idea that the outlet turbulent velocity is Gaussian, as reported in this paper. The experimental and theoretical evidence for BP probability distribution is presented in detail. Methods: A new physical phenomenon of BP distribution tail exponentiality was identified by analyzing unfiltered clinical data. HTN diagnostics are essential for the early identification of elevated BP, a "silent killer" frequently devoid of signs, to avert serious, life-threatening consequences such as stroke, myocardial infarction, and renal failure. Early HTN diagnostics, proper, proactive clinical measurement, and monitoring of BP facilitate prompt, life-saving lifestyle modifications and medical interventions, thereby decreasing morbidity and mortality. Results: This study highlights the compelling necessity to enhance HTN prevention, screening, and management programs. The results indicate that opportunistic screening can detect a substantial proportion of individuals with HTN. One of the practical aspects of specific-disease near-future-level prognostics is budgetary planning, e.g., strategic planning of national public health budgets. Conclusion: The proposed framework establishes a direct linkage between BP statistical parameters and bio-structural design reliability, offering a practical tool for safety-critical biomedical applications. Novelty: new BP distribution tail phenomenon reported, having direct application to early HTN diagnostics and a deeper understanding of blood flow turbulent dynamics.