Prime p₀= 2499310727463935051 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 118 2 46 2 46 2 118 2 (?)
a_n: 0 2 120 122 168 170 216 218 336 338
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: 338
Found by: JayPi
db: batch=82, k=10, 2 118 2 46 2

SPT(16)	2499308514897026197	0 4 22 40 46 52 54 72 94 112 114 120 126 144 162 166	-2212566908854
STPT(10)	2499308848541171657	0 2 12 14 72 74 132 134 144 146	-1878922763394
SPT(16)	2499309007610465647	0 4 16 22 42 102 106 126 130 150 154 214 234 240 252 256	-1719853469404
SPT(16)	2499309502706904809	0 12 38 50 104 174 180 218 234 272 278 348 402 414 440 452	-1224757030242
TPT(14)	2499309664339301729	0 2 42 44 102 104 192 194 282 284 312 314 378 380	-1063124633322
STPT(10)	2499310316076961997	0 2 30 32 42 44 54 56 84 86	-411386973054
SPT(16)	2499311467783797613	0 4 36 94 100 190 204 214 216 226 240 330 336 394 426 430	740319862562
SPT(16)	2499311630223036311	0 8 50 86 126 152 176 180 218 222 246 272 312 348 390 398	902759101260
SPT(16)	2499312277566798217	0 10 34 40 54 60 72 90 94 112 124 130 144 150 174 184	1550102863166
SPT(16)	2499312431172089023	0 18 30 40 84 130 148 154 324 330 348 394 438 448 460 478	1703708153972
TPT(14)	2499312695220283091	0 2 30 32 90 92 120 122 186 188 240 242 288 290	1967756348040