Prime p₀= 2396960874956192507 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: Dirk Broer
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2396959902671844457	0 22 106 114 120 126 150 192 244 286 310 316 322 330 414 436	-972284348050
STPT(10)	2396960211221548727	0 2 42 44 72 74 102 104 144 146	-663734643780
SPT(16)	2396960315547236111	0 30 56 72 98 102 122 140 168 186 206 210 236 252 278 308	-559408956396
STPT(10)	2396960610655112387	0 2 54 56 72 74 90 92 144 146	-264301080120
STPT(10)	2396960620952882651	0 2 6 8 18 20 30 32 36 38	-254003309856
TPT(14)	2396960772868950059	0 2 78 80 90 92 120 122 168 170 228 230 252 254	-102087242448
SPT(16)	2396961947015682799	0 4 12 42 60 70 82 112 132 162 174 184 202 232 240 244	1072059490292
STPT(10)	2396961955501461347	0 2 24 26 42 44 60 62 84 86	1080545268840
SPT(16)	2396962037110675201	0 10 90 102 118 220 222 228 250 256 258 360 376 388 468 478	1162154482694
STPT(10)	2396962436941962509	0 2 12 14 90 92 168 170 180 182	1561985770002
SPT(16)	2396962520491800551	0 50 86 90 92 110 162 180 338 356 408 426 428 432 468 518	1645535608044