Generate strong primes
Husk, 12 11 bytes

↑§foẊ&lt;Ẋ-tİp


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-1 byte thanks to H.PWiz.

Explanation

↑§foẊ&lt;Ẋ-tİp  Input is n.
         İp  The infinite list of primes.
      Ẋ-     Take pairwise differences,
   oẊ&lt;       then pairwise comparisons.
        t    Frop the first element from İp
 §f          and filter the rest using the result of oẊ&lt;Ẋ-.
↑            Take first n elements of this list.