Prime p₀= 2320281785834848019 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2320280930744385859	0 4 34 42 78 90 120 144 148 172 202 214 250 258 288 292	-855090462160
SPT(16)	2320281199841102153	0 6 36 80 84 96 104 126 188 210 218 230 234 278 308 314	-585993745866
SPT(16)	2320281469652060207	0 90 102 140 152 182 186 200 216 230 234 264 276 314 326 416	-316182787812
STPT(10)	2320281544657047077	0 2 30 32 42 44 54 56 84 86	-241177800942
SPT(18)	2320281590007391247	0 20 44 54 72 102 110 144 152 174 182 216 224 254 272 282 306 326	-195827456772
SPT(16)	2320281665795594101	0 12 30 42 52 58 76 132 286 342 360 366 376 388 406 418	-120039253918
SPT(16)	2320282049503912349	0 18 42 72 102 108 114 204 248 338 344 350 380 410 434 452	263669064330
STPT(10)	2320282085735593877	0 2 42 44 72 74 102 104 144 146	299900745858
STPT(10)	2320282388822402747	0 2 12 14 42 44 72 74 84 86	602987554728
SPT(16)	2320282533505324021	0 40 72 112 126 168 186 210 298 322 340 382 396 436 468 508	747670476002
STPT(10)	2320282554040941167	0 2 12 14 42 44 72 74 84 86	768206093148