Does Bernie Williams make the hall?

[Jake]

His lifetime batting average is .301

263 HR is low but
2097 hits and 36 years old.

.990 fielding percentage
4 consecutive Gold Gloves
5 time all star

HOF Standards: Batting - 46.4 (94) (Average HOFer ~ 50)
HOF Monitor: Batting - 140.0 (85) (Likely HOFer > 100)

And those 4 WS rings.

Does Bernie get in? Assuming he gets to 2500+ hits and 350 homers.