Prime p₀= 2881059505441569677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2881058512234432487	0 2 24 26 42 44 60 62 84 86	-993207137190
TPT(14)	2881058722141526987	0 2 84 86 102 104 210 212 282 284 294 296 324 326	-783300042690
SPT(16)	2881058842562243207	0 2 36 50 56 86 116 120 152 156 186 216 222 236 270 272	-662879326470
SPT(16)	2881059265738323227	0 6 20 32 42 62 84 96 140 152 174 194 204 216 230 236	-239703246450
SPT(16)	2881059302372008001	0 18 30 38 72 80 138 156 182 200 258 266 300 308 320 338	-203069561676
SPT(16)	2881059390870579151	0 10 16 30 36 48 58 60 76 78 88 100 106 120 126 136	-114570990526
TPT(14)	2881059775976052887	0 2 54 56 102 104 144 146 150 152 264 266 282 284	270534483210
STPT(10)	2881059929127666467	0 2 30 32 42 44 54 56 84 86	423686096790
SPT(16)	2881061067689070911	0 8 30 108 110 140 150 198 248 296 306 336 338 416 438 446	1562247501234
SPT(16)	2881061121847976047	0 10 66 94 142 154 162 184 192 214 222 234 282 310 366 376	1616406406370
SPT(16)	2881061194051620893	0 14 56 98 134 308 344 348 356 360 396 570 606 648 690 704	1688610051216