Wow, that's nearly 800 sfm for that cutter; a bit fast for 316.
Try slowing the sfm to 450-600 and follow these parameters:
450 sfm when radial depth of cut (rDOC) = .75-1.0D, at .1016-.0762 mm per tooth, respectively.
That's at an axial depth no greater than 3mm.
525 sfm when rDOC = .6D, at .152 mm per tooth
575-600 sfm when rDOC = .2-.3D, at .2032 mm per tooth
As axial and radial DOC increases, sfm decreases and vice versa. Light peripheral milling <.2D, and you really need to start compensating for radial chip thinning to keep the heat out of the part.