Prime p₀= 2379076165378004537 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: Coleslaw
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2379075299541737677	0 24 66 70 90 100 114 150 286 322 336 346 366 370 412 436	-865836266860
STPT(10)	2379075371987632007	0 2 84 86 132 134 180 182 264 266	-793390372530
SPT(16)	2379075766000118531	0 2 36 66 80 92 110 126 176 192 210 222 236 266 300 302	-399377886006
STPT(10)	2379075777832880207	0 2 54 56 72 74 90 92 144 146	-387545124330
SPT(16)	2379076018475784371	0 8 86 98 150 186 200 206 210 216 230 266 318 330 408 416	-146902220166
SPT(16)	2379076050453900829	0 10 82 114 154 180 192 280 432 520 532 558 598 630 702 712	-114924103708
TPT(14)	2379076524844662449	0 2 30 32 72 74 78 80 120 122 132 134 210 212	359466657912
SPT(16)	2379076966813662971	0 6 30 42 60 72 120 140 162 182 230 242 260 272 296 302	801435658434
STPT(10)	2379077035837379159	0 2 42 44 60 62 78 80 120 122	870459374622
SPT(16)	2379077315211850807	0 22 24 66 100 114 120 154 222 256 262 276 310 352 354 376	1149833846270
STPT(10)	2379077669517009281	0 2 6 8 18 20 30 32 36 38	1504139004744