Hurwitz prime slices

At time t, we look at the Hurwitz primes on the plane (2t,0,x,y)+(1/2,1/2,1/2,1/2). Enjoy the ride. We are going from t=0 to t=500. At the end we are at 10150 distance from the origin and the primes are already thinned out quite a bit. But we see still regularly Hurwitz prime twins too, even so they thin out also. You observe that now, in the higher dimensional case, spacial patterns are not uncommon in the primes. Of course they appear so also because of the symmetry in the Quaternion space.
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