If you want to bring to the court's attention evidence that it did not have at the time the final judgment was entered and that is your reason for the Rule 60 motion, then it is a Rule 60(b) motion, as Rule 60(b) covers:
(1) mistake, inadvertence, surprise, or excusable neglect;
(2) newly discovered evidence that, with reasonable diligence, could not have been discovered in time to move for a new trial under Rule 59(b);
(3) fraud (whether previously called intrinsic or extrinsic), misrepresentation, or misconduct by an opposing party;
(4) the judgment is void;
(5) the judgment has been satisfied, released, or discharged; it is based on an earlier judgment that has been reversed or vacated; or applying it prospectively is no longer equitable; or
(6) any other reason that justifies relief.
(Bolding added.) I understand you think that there should be no time limit here, but the rule is what it is.