Prime p₀= 2549499874861809827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Penguin
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2549498259234915691	0 40 70 96 138 178 192 202 216 226 240 280 322 348 378 418	-1615626894136
TPT(14)	2549498339591044319	0 2 18 20 60 62 78 80 168 170 258 260 282 284	-1535270765508
SPT(16)	2549498577769373533	0 30 64 78 94 108 120 150 154 184 196 210 226 240 274 304	-1297092436294
SPT(16)	2549499562315158241	0 10 22 40 48 78 148 162 166 180 250 280 288 306 318 328	-312546651586
TPT(14)	2549499758983771019	0 2 18 20 402 404 462 464 492 494 528 530 648 650	-115878038808
SPT(16)	2549499774039236441	0 80 90 150 156 168 176 180 206 210 218 230 236 296 306 386	-100822573386
STPT(10)	2549500205647554329	0 2 18 20 30 32 42 44 60 62	330785744502
SPT(16)	2549500333040256587	0 14 26 50 60 102 150 162 164 176 224 266 276 300 312 326	458178446760
SPT(16)	2549500335623709397	0 4 46 54 100 112 150 172 234 256 294 306 352 360 402 406	460761899570
SPT(16)	2549500487897280119	0 54 68 102 104 152 174 320 342 488 510 558 560 594 608 662	613035470292
STPT(10)	2549500512478426217	0 2 12 14 42 44 72 74 84 86	637616616390