Prime p₀= 2499312753785772107 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: Penguin
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2499310727463935051	0 2 120 122 168 170 216 218 336 338	-2026321837056
SPT(16)	2499311467783797613	0 4 36 94 100 190 204 214 216 226 240 330 336 394 426 430	-1286001974494
SPT(16)	2499311630223036311	0 8 50 86 126 152 176 180 218 222 246 272 312 348 390 398	-1123562735796
SPT(16)	2499312277566798217	0 10 34 40 54 60 72 90 94 112 124 130 144 150 174 184	-476218973890
SPT(16)	2499312431172089023	0 18 30 40 84 130 148 154 324 330 348 394 438 448 460 478	-322613683084
TPT(14)	2499312695220283091	0 2 30 32 90 92 120 122 186 188 240 242 288 290	-58565489016
SPT(16)	2499312795765664421	0 2 30 32 56 72 86 90 98 102 116 132 156 158 186 188	41979892314
STPT(10)	2499313015980505259	0 2 132 134 150 152 168 170 300 302	262194733152
SPT(16)	2499313377848256667	0 22 34 40 60 64 84 174 370 460 480 484 504 510 522 544	624062484560
SPT(16)	2499314339084893081	0 72 76 118 180 190 202 208 240 246 258 268 330 372 376 448	1585299120974
STPT(10)	2499314467316073437	0 2 30 32 60 62 90 92 120 122	1713530301330