Prime p₀= 2798513785440112307 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2798511766051928419	0 64 108 124 184 208 234 250 318 334 360 384 444 460 504 568	-2019388183888
SPT(18)	2798512232441628697	0 46 96 100 102 156 180 190 256 306 372 382 406 460 462 466 516 562	-1552998483610
SPT(16)	2798512288836791893	0 18 58 60 78 84 94 120 178 204 214 220 238 240 280 298	-1496603320414
SPT(20)	2798512333041686449	0 24 40 48 58 94 118 154 160 168 184 192 198 234 258 294 304 312 328 352	-1452398425858
SPT(16)	2798513074724903339	0 18 48 74 84 140 150 188 234 272 282 338 348 374 404 422	-710715208968
SPT(16)	2798513505635278511	0 2 56 66 68 80 86 110 168 192 198 210 212 222 276 278	-279804833796
SPT(16)	2798514123690212339	0 14 18 62 90 144 168 180 242 254 278 332 360 404 408 422	338250100032
SPT(16)	2798514340906371583	0 6 34 46 88 100 108 114 130 136 144 156 198 210 238 244	555466259276
STPT(10)	2798514483349694477	0 2 30 32 42 44 54 56 84 86	697909582170
SPT(13)	2798514563549709443	0 6 66 84 96 126 150 174 204 216 234 294 300	778109597136
STPT(10)	2798514825781616309	0 2 18 20 30 32 42 44 60 62	1040341504002