We'll use the following formular
E = Kq / r^2
Since the electric field is 386 N/C midway between the charges, r = 1/2 * 16 = 8 cm = 0.08m.
So we have 386 = (8.998 * 10^(9) * q) / (0.08)^2
386 * 0.0064 = 8.998 * 10^(9) * q
q = (386 * 0.0064)/ 8.998 * 10^(9)
q = 2.4704/ 8.998 * 10^(9)
q = 2.754 * 10^(-10)