Prime p₀= 2377681635454446707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: arkiss
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2377679894274614117	0 2 24 26 42 44 60 62 84 86	-1741179832590
SPT(16)	2377680323099104627	0 10 24 36 84 90 102 160 186 244 256 262 310 322 336 346	-1312355342080
SPT(16)	2377680481154409481	0 36 42 46 52 70 96 100 108 112 138 156 162 166 172 208	-1154300037226
SPT(16)	2377680789534988471	0 6 30 66 70 102 162 186 202 226 286 318 322 358 382 388	-845919458236
SPT(16)	2377680896182283101	0 42 72 76 90 126 130 138 160 168 172 208 222 226 256 298	-739272163606
STPT(10)	2377681551087573527	0 2 30 32 42 44 54 56 84 86	-84366873180
SPT(16)	2377681776958188427	0 16 34 42 70 72 84 94 282 292 304 306 334 342 360 376	141503741720
SPT(16)	2377681956161740489	0 18 48 52 94 108 172 174 238 240 304 318 360 364 394 412	320707293782
SPT(16)	2377682095099818901	0 16 70 108 118 130 168 190 198 220 258 270 280 318 372 388	459645372194
STPT(10)	2377682135543668739	0 2 42 44 60 62 78 80 120 122	500089222032
STPT(10)	2377682233963569647	0 2 30 32 102 104 174 176 204 206	598509122940