Twin Prime Residue Classes: Completing the Primorial Hierarchy. From 2310 to 30030

We analyze the distribution of 10 million twin prime pairs below 3. 3×10⁹ modulo the primorial 30030 = 2·3·5·7·11·13, extending our previous hierarchical analysis from moduli 6, 30, 210, and 2310. Among the φ (30030) =5760 residue classes coprime to 30030, exactly 1485 classes admit twin prime pairs, forming the next level in the primorial hierarchy: 135 families × 11 subclasses. The observed frequencies are nearly identical, with a chi-square statistic χ² = 899. 19 (df = 1484), far below the critical value at the 5% level. All observed deviations lie within expected statistical fluctuations, with maximum deviation 2. 97σ and relative errors below 3. 7%. As a falsification test, we verified that all 1485 admissible classes contain at least one twin prime pair, showing no evidence of structural closure. This work provides strong experimental evidence supporting the Hardy--Littlewood equidistribution prediction across the complete primorial hierarchy 6, 30, 210, 2310, 30030, confirming the multiplicative structure N (Mₖ) = ∏₈=₂^k (pᵢ - 2).