Near Magic Squares with the First 25 Primes

There are 25 primes smaller than 100. What is the closest to a 5 x 5 magic square I can construct with them? By "closest" I mean the one with the most columns, rows, and diagonals (12 in all) adding to the same amount.

I'll get things started with

10 lines with common sum 215:

    23 47 31 43 71
89 41 67 11  7
13 29 17 97 59
53 79  2 61  5
37 19 83  3 73


You can achieve

12 lines with distinct primes, here with common sum 283:

  13 107  79  37  47
97  19   7  71  89
29  17 131  23  83
113   3   5 109  53
31 137  61  43  11


• This is clearly optimal: the row/column containing 2 will have an even sum, all others will have an odd sum. Sep 4 at 17:52
• Followup: By choosing any 25 primes (not necessarily the 25 smallest), can you achieve 11 or even 12 matching sums? Sep 5 at 7:02
• @EdMurphy I updated my answer to address this. Sep 5 at 16:16
• mathworld.wolfram.com/PrimeMagicSquare.html Sep 5 at 17:09