Let the range of function \( f(x) = 6 + 16 \cos x \cdot \cos\!\left(\frac{\pi}{3} - x\right) \cdot \cos\!\left(\frac{\pi}{3} + x\right) \cdot \sin 3x \cdot \cos 6x, \; x \in R \) be \( [\alpha,\beta] \). Then the distance of the point \( (\alpha,\beta) \) from the line \( 3x + 4y + 12 = 0 \) is:
