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2014 NFL draft order: When the New York Jets pick in Round 2; full list of picks

Geno Smith looks to improve an offense that ranked as one of the NFL's worst. (McClatchy-Tribune via Getty Images)

Geno Smith's worst two games of the season have come at an inopportune time for the Jets. (McClatchy-Tribune via Getty Images)

File this one under mysteries: The New York Jets won eight games last season while scoring 18 points per game.

The team made headlines with its moves at quarterback this offseason by releasing Mark Sanchez and signing Michael Vick. But playmakers are sorely needed on offense, particular at receiver and tight end. The Jets have 12 picks, giving them flexibility if they want to move up in the draft.

Needs:Cornerback, wide receiver, tight end

Here is the list of the Jets' picks in this year’s draft:

Last updated May 9, 10a.m.

Round 1, Pick 18 (18): Calvin Pryor

Round 2, Pick 17 (49)

Round 3, Pick 16 (80)

Round 4, Pick 4 (104)

Round 4, Pick 15 (115)

Round 4, Pick 37 (137)

Round 5, Pick 14 (154)

Round 6, Pick 19 (195)

Round 6, Pick 33 (209)

Round 6, Pick 34 (210)

Round 6, Pick 37 (213)

Round 7, Pick 18 (233)

More SI.com NFL draft coverage:

BURKE & FARRAR: Grading each first-round pick

BANKS: Welcome to Cleveland, Johnny Football

BURKE: Reaches and steals of Round 1

KING: Inside one team’s gutsy trade up in the draft

SI.COM STAFF: 2014 NFL draft: Latest rumors, buzz