Puzzle 755. Upside Down Magic Squares

Someone named "fwaff" posted a puzzle in a site that collect lot of puzzles.

Can you create a 4x4 magic square that still works with the same total when turned upside down?

[A Magic Square is a grid of numbers whose rows, columns and long diagonals add up to the same total. All the numbers in the square must be different.]

[By 'turned upside down' I mean that if 106 is the number in the top left corner in the original magic square, then 901 is in the bottom right corner of the inverted square]

He gave the following example:

One solution is:

16 98 81 69
61 89 96 18
99 11 68 86
88 66 19 91

Which gives an 'upside down' square of:

16 61 99 88
98 89 11 66
81 96 68 19
69 18 86 91

The total for each row, column and long diagonals for both squares is 264.

Q. Find a solution like this but using only prime numbers. The magic square could be 3x3, 4x4 or...