A line passes through $$A(4, -6, -2)$$ and $$B(16, -2, 4)$$. The point $$P(a, b, c)$$ where $$a, b, c$$ are non-negative integers, on the line $$AB$$ lies at a distance of 21 units, from the point $$A$$. The distance between the points $$P(a, b, c)$$ and $$Q(4, -12, 3)$$ is equal to

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