Five Parallel 24x24 Matrices from the 600-Cell Coset Decomposition Invariant class counts and symmetry-broken twin-prime response

This paper introduces five parallel 24x24 matrices induced by the five cosets in a 600-cell / Hurwitz-24 decomposition. Each matrix is built from a length-24 sequence over Z_9 and partitioned into the three classes NIL={0,3,6}, PAR={1,4,7}, and ANT={2,5,8}. The main exact result is an invariance theorem: all five matrices have identical class totals, NIL=252, PAR=162, and ANT=162, despite distinct internal orderings. A second result shows pattern-level symmetry breaking: the base matrix M1 preserves the exact twin-prime NIL localization theorem, while shuffled matrices M2-M5 alter the responses of the admissible twin-prime residue pairs. The paper also records finite-sample closed-loop taxonomies for prime triplets and quadruplets. The presentation is claim-bounded and reproducible from definitions, formulas, printed sequences, and minimal pseudocode, without requiring release of the source code.