A plastic container is provided that includes a hollow body portion including a lower supporting base portion; a sidewall portion extending upwardly from the base portion; and a neck portion extending upwardly from the sidewall portion. The neck portion includes a support flange having an upper and lower surface, a tamper-evident formation, and a dispensing opening at the top of the neck portion. In an embodiment, the volume of the container is at least 500 ml; the weight of the neck portion is 3.0 grams or less; and the vertical distance from the top of the dispensing opening to the lower surface of the support flange, including the threads and the tamper-evident formation, is 0.580 inches or less. A preform and method for making a container are also disclosed.