Prime p₀= 2513386799547169331 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [AF>Linux]Rogue 9
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2513384716990294241	0 2 6 8 48 50 90 92 96 98	-2082556875090
STPT(10)	2513385085991704679	0 2 18 20 30 32 42 44 60 62	-1713555464652
SPT(16)	2513385547449835147	0 12 22 40 52 60 84 126 130 172 196 204 216 234 244 256	-1252097334184
STPT(10)	2513385588693933461	0 2 96 98 198 200 300 302 396 398	-1210853235870
STPT(10)	2513385589945759937	0 2 42 44 72 74 102 104 144 146	-1209601409394
SPT(16)	2513386474914054451	0 40 46 60 70 76 90 106 192 208 222 228 238 252 258 298	-324633114880
TPT(14)	2513387235646200047	0 2 54 56 162 164 180 182 192 194 234 236 294 296	436099030716
TPT(14)	2513387500640947727	0 2 42 44 102 104 144 146 192 194 234 236 294 296	701093778396
STPT(12)	2513387500640947769	0 2 60 62 102 104 150 152 192 194 252 254	701093778438
STPT(10)	2513387632631727461	0 2 30 32 78 80 126 128 156 158	833084558130
STPT(10)	2513387664225709937	0 2 30 32 42 44 54 56 84 86	864678540606