Construct a 4x4 magic square using integer numbers,
fulfilling the following conditions:
-Each number is an average of a twin prime pair.
-The lowest number is 30 - place it in the upper left corner.
- The highest number is 1092 - place it in the lower right corner.

Rem: Once you’ve created the above magic square you can derive 2 new magic squares, each consisting of prime numbers only, - simply by increasing ( decreasing ) each number by one.

Hint : The eligible even numbers are a subset of a sequence A014574 of Sloane’s encyclopedia of integer sequences.