Prime p₀= 2678323230465281207 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: Asgard2022
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2678320731089387239	0 10 78 114 172 298 318 322 360 364 384 510 568 604 672 682	-2499375893968
STPT(10)	2678320856928002981	0 2 30 32 78 80 126 128 156 158	-2373537278226
STPT(10)	2678321225816369867	0 2 30 32 42 44 54 56 84 86	-2004648911340
SPT(16)	2678321738902645763	0 26 56 74 90 116 140 144 170 174 198 224 240 258 288 314	-1491562635444
SPT(16)	2678322338544554971	0 40 52 58 96 118 166 198 220 252 300 322 360 366 378 418	-891920726236
STPT(10)	2678322510510940169	0 2 42 44 120 122 198 200 240 242	-719954341038
SPT(16)	2678323470893975477	0 2 84 86 110 122 236 282 374 420 534 546 570 572 654 656	240428694270
SPT(16)	2678323651422928087	0 22 24 40 60 64 112 124 132 144 192 196 216 232 234 256	420957646880
SPT(16)	2678324014071937199	0 2 14 30 44 68 140 248 264 372 444 468 482 498 510 512	783606655992
STPT(10)	2678324057454372329	0 2 30 32 60 62 90 92 120 122	826989091122
SPT(16)	2678324200417020479	0 20 32 48 98 108 132 162 230 260 284 294 344 360 372 392	969951739272