Prime p₀= 2599845334475867447 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2599843707445572589	0 22 24 58 70 72 78 82 180 184 190 192 204 238 240 262	-1627030294858
STPT(10)	2599843906821494231	0 2 66 68 108 110 150 152 216 218	-1427654373216
SPT(16)	2599844079330680891	0 20 60 98 102 128 150 156 302 308 330 356 360 398 438 458	-1255145186556
STPT(10)	2599844431242926909	0 2 18 20 30 32 42 44 60 62	-903232940538
TPT(14)	2599844945006870387	0 2 30 32 72 74 114 116 162 164 204 206 234 236	-389468997060
SPT(16)	2599845072767566763	0 14 74 90 110 116 150 228 236 314 348 354 374 390 450 464	-261708300684
SPT(18)	2599845458837075677	0 76 100 114 130 154 174 246 274 336 364 436 456 480 496 510 534 610	124361208230
STPT(10)	2599846041211279097	0 2 12 14 42 44 72 74 84 86	706735411650
SPT(16)	2599846175425154261	0 8 86 182 188 216 240 266 342 368 392 420 426 522 600 608	840949286814
SPT(16)	2599846389635488921	0 12 58 82 88 96 130 132 196 198 232 240 246 270 316 328	1055159621474
SPT(16)	2599846578603602981	0 38 48 50 92 162 230 240 308 318 386 456 498 500 510 548	1244127735534