If k is product of largest and median value of the number \(\frac{2}{3}, \frac{1}{2}, \frac{1}{8}, \frac{2}{6}, \frac{3}{5}\), then find the value of \(\left(1-k^2\right)\left(\frac{1}{k}-3\right)\left(-\frac{2}{k^5}\right)\).

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