Prime p₀= 2344612607945908829 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

STPT(10)	2344611656145602507	0 2 42 44 72 74 102 104 144 146	-951800306322
SPT(16)	2344611855948273929	0 20 50 80 84 140 150 210 272 332 342 398 402 432 462 482	-751997634900
STPT(10)	2344612160804233907	0 2 30 32 72 74 114 116 144 146	-447141674922
SPT(16)	2344612193939216561	0 8 26 66 68 92 110 120 128 138 156 180 182 222 240 248	-414006692268
SPT(16)	2344612420722853979	0 14 80 144 168 174 192 200 252 260 278 284 308 372 438 452	-187223054850
STPT(10)	2344612451346616457	0 2 30 32 42 44 54 56 84 86	-156599292372
STPT(10)	2344612676133229277	0 2 12 14 42 44 72 74 84 86	68187320448
SPT(16)	2344612969070548763	0 56 66 74 80 86 210 228 236 254 378 384 390 398 408 464	361124639934
SPT(16)	2344613016556184567	0 6 26 50 56 90 96 110 162 176 182 216 222 246 266 272	408610275738
SPT(16)	2344613459984575711	0 22 42 70 100 106 112 156 196 240 246 252 282 310 330 352	852038666882
SPT(16)	2344613514660812513	0 24 48 68 84 108 110 164 174 228 230 254 270 290 314 338	906714903684