While a higher ASVAB score generally opens more options, some highly competitive MOS's may require extremely high scores, even exceeding the maximum possible score on individual subtests, to be considered. Other less competitive MOS's may have much lower minimum ASVAB score requirements.
Therefore, it's inaccurate to say there's a single "highest score" that guarantees anything. Focus instead on achieving the highest score *you* can, as that will maximize your opportunities within the Marine Corps.