Prime p₀= 2409659041948628537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2409657962257491727	0 42 52 126 130 210 222 262 264 304 316 396 400 474 484 526	-1079691136810
STPT(10)	2409658013631538037	0 2 30 32 42 44 54 56 84 86	-1028317090500
SPT(16)	2409658075770812561	0 78 90 120 132 182 188 212 246 270 276 326 338 368 380 458	-966177815976
STPT(10)	2409658145734871201	0 2 30 32 78 80 126 128 156 158	-896213757336
STPT(10)	2409658333608279497	0 2 42 44 102 104 162 164 204 206	-708340349040
STPT(10)	2409658747391095169	0 2 12 14 30 32 48 50 60 62	-294557533368
SPT(20)	2409659317765612823	0 60 74 80 110 114 140 144 158 248 270 360 374 378 404 408 438 444 458 518	275816984286
SPT(16)	2409659457033529307	0 6 32 54 102 110 146 162 164 180 216 224 272 294 320 326	415084900770
SPT(16)	2409659622290947051	0 12 16 28 102 138 166 172 306 312 340 376 450 462 466 478	580342318514
SPT(16)	2409659857325382139	0 18 22 52 70 78 114 130 132 148 184 192 210 240 244 262	815376753602
SPT(16)	2409660849503167681	0 10 18 28 72 88 100 102 178 180 192 208 252 262 270 280	1807554539144