Choice A is the correct answer.

1. Setup: Let integers be $x$ and $x+2$.
2. Equation: $x(x+2) = 168 \Rightarrow x^2 + 2x - 168 = 0$.
3. Factor: $(x + 14)(x - 12) = 0$.
4. Result: $x = 12$ (since positive). Next integer is 14.

Choice B is incorrect because product is 120. Choice C is incorrect because product is 224. Choice D is incorrect because product is 80.