A Complete Census of Prime Quadruplets for Q(n) = n⁴⁷ − (n−1)⁴⁷ in the Range 1 ≤ n ≤ 2×10¹¹

We report a large-scale computational census of prime quadruplets for the degree-46 polynomial Q(n) = n⁴⁷ − (n−1)⁴⁷ over the full range 1 ≤ n ≤ 2×10¹¹. The search discovered 742 prime quadruplets (four consecutive integers all generating probable primes of 340–520 digits, with Q(n) reaching magnitudes of order 10⁵²⁰), 7 prime quintuplets, and zero sextuplets. The cumulative count C(N) is in quantitative agreement with the Bateman–Horn conjecture, yielding an inferred singular series 𝔖₄ ≈ 6,400 via numerical evaluation of the full logarithmic integral. A satellite prime survey of 12,983 primes within radius 5,000 of each quadruplet member confirms statistically uniform gap distributions. We prove that Q(n) ≡ 1 (mod 3) universally, establishing a symmetric mod-3 phase shift in the satellite field. Local clustering analysis reveals moduli space alignment among tightly spaced quadruplet pairs. This work (Part II of the Titan Project) extends the foundational morphological census of the pioneer zone n ≤ 2×10⁹ (Part I, Zenodo record 18701355).