8.
Since the smaller circle has a radius of 4, then the diameter of the smaller circle is 8. Since the circles intersect at point T, the distance from the center of the larger circle to point T is the radius of the smaller circle, which is 4.
Therefore, the radius of the larger circle is 4 + 4 = 8. The diameter of a circle is twice the radius, so the diameter of the larger circle is 8 x 2 = 16.
Two circles intersect at point T. If the small circle has a radius of 4 and C is the center of the largest circle, then the diameter of the larger circle must be
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