Prime p₀= 2310422129169399767 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: FritzB
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2310421247002810769	0 2 42 44 60 62 78 80 120 122	-882166588998
SPT(16)	2310421464186667493	0 8 26 44 74 78 116 126 128 138 176 180 210 228 246 254	-664982732274
STPT(10)	2310421714358315651	0 2 30 32 60 62 90 92 120 122	-414811084116
SPT(16)	2310421814444980417	0 30 34 42 46 52 114 132 154 172 234 240 244 252 256 286	-314724419350
STPT(10)	2310421829973278639	0 2 48 50 60 62 72 74 120 122	-299196121128
STPT(10)	2310421958795745797	0 2 30 32 60 62 90 92 120 122	-170373653970
STPT(10)	2310422212107707561	0 2 78 80 108 110 138 140 216 218	82938307794
SPT(16)	2310422509437277187	0 24 42 60 72 110 120 170 234 284 294 332 344 362 380 404	380267877420
STPT(10)	2310422833897320971	0 2 6 8 48 50 90 92 96 98	704727921204
SPT(16)	2310422888268732469	0 78 148 162 168 190 238 240 280 282 330 352 358 372 442 520	759099332702
SPT(16)	2310422955734270291	0 12 18 32 56 78 98 110 168 180 200 222 246 260 266 278	826564870524