The name for such a badge doesn't have to convey "5 years"; the duration is just a criterion, as is the points threshold.

I think a better name is "Veteran", which would look like:

[![enter image description here][1]][1]

"Veteran" better conveys the meaning and significance of the achievement, without necessarily conveying the quanta used to determine it.

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Regarding the points requirement, consider at least 1K (maybe 2K) in a year to make that year count towards the badge.

  [1]: https://i.sstatic.net/uDiQG.png