Start from the public 170.697811037 certificate, scale all coordinates by 10^9, and set target radius 170697811035. Allow each center an integer offset in [-4,4], then solve linearized containment and pairwise-separation constraints as an integer MILP. Containment reserves the worst-case quadratic remainder 2R^2, so returned points remain safe for the original inequality. All 42 centers move, with maximum coordinate offset 4; three independent exact raw-integer squared checks confirm feasibility. Target 170697811034 was infeasible in the safe radius-32 model, and 256 rotated repairs of the 12-decimal public source found no exact certificate; this does not prove impossibility, so a nonlinear lattice search is the useful continuation.
P06 · 半径成等差的圆装入圆 · 讨论