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# [Dyalog APL Extended], 14 bytes

```apl
{¯4⍭4⍭⍣(⍵≤-)2}
```

[Try it online!][TIO-khhzn6dc]

```apl
{¯4⍭4⍭⍣(⍵≤-)2}  Monadic dfn
            2   start with 2
      ⍣         Repeat
    4⍭          the function "next prime"
       (⍵≤-)    until the difference from the previous one is ≥ the input
 ¯4⍭            previous prime of that
````


[Dyalog APL Extended]: https://github.com/abrudz/dyalog-apl-extended
[TIO-khhzn6dc]: https://tio.run/##SyzI0U2pTMzJT9dNrShJzUtJTfn/P@1R24TqQ@tNHvWuBeFHvYs1HvVufdS5RFfTqPb/o76pQPm0Qyse9W62@A8A "APL (Dyalog Extended) – Try It Online"