2 added 315 characters in body
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Jelly, 5 bytes

Ḃœp¹ḢḂœp⁸Ḣ

Try it online!Try it online! or verify all test casesverify all test cases.

How it works

Ḃœp⁸Ḣ  Main link. Argument: A (array)

Ḃ      Bit; yield 1 for odd integers, 0 for even ones.
   ⁸   Yield A.
 œp    Partition A, splitting at 1's in the bit array.
       This yields a 2D array of runs of even integers.
    Ḣ  Head; extract the first chunk.

Jelly, 5 bytes

Ḃœp¹Ḣ

Try it online! or verify all test cases.

Jelly, 5 bytes

Ḃœp⁸Ḣ

Try it online! or verify all test cases.

How it works

Ḃœp⁸Ḣ  Main link. Argument: A (array)

Ḃ      Bit; yield 1 for odd integers, 0 for even ones.
   ⁸   Yield A.
 œp    Partition A, splitting at 1's in the bit array.
       This yields a 2D array of runs of even integers.
    Ḣ  Head; extract the first chunk.
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