Find the minimum possible value of \(|a|\) such that the function below is continuous along the interval \([b,\infty)\) and there is no value of \(x<b\) such that \(y\) is a real number.
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\[16y^2=a+15 x-9 x^2+x^3\]

Note: \(b\) is a constant of real integral value.

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