Prime p₀= 2599846041211279097 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)	2599844079330680891	0 20 60 98 102 128 150 156 302 308 330 356 360 398 438 458	-1961880598206
STPT(10)	2599844431242926909	0 2 18 20 30 32 42 44 60 62	-1609968352188
TPT(14)	2599844945006870387	0 2 30 32 72 74 114 116 162 164 204 206 234 236	-1096204408710
SPT(16)	2599845072767566763	0 14 74 90 110 116 150 228 236 314 348 354 374 390 450 464	-968443712334
STPT(10)	2599845334475867447	0 2 12 14 72 74 132 134 144 146	-706735411650
SPT(18)	2599845458837075677	0 76 100 114 130 154 174 246 274 336 364 436 456 480 496 510 534 610	-582374203420
SPT(16)	2599846175425154261	0 8 86 182 188 216 240 266 342 368 392 420 426 522 600 608	134213875164
SPT(16)	2599846389635488921	0 12 58 82 88 96 130 132 196 198 232 240 246 270 316 328	348424209824
SPT(16)	2599846578603602981	0 38 48 50 92 162 230 240 308 318 386 456 498 500 510 548	537392323884
SPT(16)	2599846664101119131	0 102 108 140 182 230 282 290 300 308 360 408 450 482 488 590	622889840034
SPT(16)	2599846797585558557	0 24 36 54 80 110 114 134 156 176 180 210 236 254 266 290	756374279460