Prime p₀= 2307320457757133849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2307319274499021977	0 36 42 50 62 140 162 216 260 314 336 414 426 434 440 476	-1183258111872
STPT(10)	2307319332302025029	0 2 18 20 30 32 42 44 60 62	-1125455108820
STPT(10)	2307319458250498577	0 2 90 92 132 134 174 176 264 266	-999506635272
SPT(16)	2307319712867785687	0 96 166 172 186 240 250 252 394 396 406 460 474 480 550 646	-744889348162
SPT(16)	2307320059400773517	0 14 44 50 72 84 146 170 246 270 332 344 366 372 402 416	-398356360332
STPT(10)	2307320313793674041	0 2 30 32 78 80 126 128 156 158	-143963459808
STPT(10)	2307320498963258897	0 2 30 32 42 44 54 56 84 86	41206125048
SPT(16)	2307320538658283173	0 54 70 78 90 130 154 166 168 180 204 244 256 264 280 334	80901149324
SPT(16)	2307320846009261759	0 14 32 42 54 78 92 102 140 150 164 188 200 210 228 242	388252127910
STPT(10)	2307321154422234017	0 2 12 14 42 44 72 74 84 86	696665100168
TPT(14)	2307321251478132761	0 2 48 50 60 62 126 128 366 368 396 398 438 440	793720998912