Prime p₀= 2687974887914056859 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Roadranner
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2687972692560666349	0 18 24 54 70 124 130 220 258 348 354 408 424 454 460 478	-2195353390510
TPT(14)	2687973067646910647	0 2 30 32 60 62 84 86 90 92 102 104 114 116	-1820267146212
STPT(10)	2687974051269597911	0 2 6 8 18 20 30 32 36 38	-836644458948
STPT(10)	2687974112664090071	0 2 6 8 48 50 90 92 96 98	-775249966788
STPT(10)	2687974502851918127	0 2 12 14 42 44 72 74 84 86	-385062138732
SPT(16)	2687974627605710347	0 6 24 46 72 90 114 132 154 172 196 214 240 262 280 286	-260308346512
STPT(10)	2687974958613389111	0 2 6 8 18 20 30 32 36 38	70699332252
SPT(16)	2687975185958056793	0 14 30 108 110 120 164 170 234 240 284 294 296 374 390 404	298043999934
SPT(16)	2687975791776067591	0 28 36 66 100 148 162 166 222 226 240 288 322 352 360 388	903862010732
SPT(16)	2687975840615956201	0 6 48 78 136 150 168 258 310 400 418 432 490 520 562 568	952701899342
SPT(16)	2687976119421338881	0 6 28 70 72 88 132 156 172 196 240 256 258 300 322 328	1231507282022