Prime p₀= 2511589927761001457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Groo
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2511588846450999221	0 2 30 32 96 98 126 128 156 158 216 218 228 230	-1081310002236
STPT(10)	2511589017417908957	0 2 60 62 72 74 84 86 144 146	-910343092500
SPT(16)	2511589365088205287	0 30 36 64 96 112 114 120 166 172 174 190 222 250 256 286	-562672796170
STPT(10)	2511589493497168697	0 2 30 32 42 44 54 56 84 86	-434263832760
STPT(10)	2511589846882258739	0 2 42 44 60 62 78 80 120 122	-80878742718
SPT(16)	2511589905205695593	0 38 54 66 108 146 168 180 224 236 258 296 338 350 366 404	-22555305864
SPT(16)	2511590193009825559	0 10 22 30 34 42 58 64 78 84 100 108 112 120 132 142	265248824102
STPT(12)	2511590355938093567	0 2 12 14 54 56 90 92 132 134 144 146	428177092110
SPT(16)	2511590603018540257	0 16 64 76 82 90 166 184 222 240 316 324 330 342 390 406	675257538800
STPT(10)	2511590649247525091	0 2 36 38 78 80 120 122 156 158	721486523634
SPT(16)	2511590660536000721	0 2 20 30 56 62 66 72 80 86 90 96 122 132 150 152	732774999264