Prime p₀= 2309258184108010139 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2309256050944981561	0 12 52 82 90 120 166 196 246 276 322 352 360 390 430 442	-2133163028578
SPT(16)	2309256146472978347	0 14 32 66 116 126 150 182 204 236 260 270 320 354 372 386	-2037635031792
SPT(16)	2309256349500049249	0 40 60 70 88 108 112 124 138 150 154 174 192 202 222 262	-1834607960890
SPT(16)	2309256376806358457	0 44 80 86 90 132 134 234 272 372 374 416 420 426 462 506	-1807301651682
SPT(16)	2309256673229510317	0 24 34 36 52 76 180 196 300 316 420 444 460 462 472 496	-1510878499822
SPT(16)	2309258002405876811	0 2 32 66 80 92 132 156 176 200 240 252 266 300 330 332	-181702133328
STPT(10)	2309258190217819847	0 2 30 32 42 44 54 56 84 86	6109809708
TPT(14)	2309258196174412757	0 2 30 32 42 44 150 152 162 164 180 182 264 266	12066402618
STPT(10)	2309258422998475979	0 2 18 20 30 32 42 44 60 62	238890465840
SPT(16)	2309258563079887927	0 16 70 72 82 114 124 132 154 162 172 204 214 216 270 286	378971877788
STPT(10)	2309259237772676051	0 2 30 32 78 80 126 128 156 158	1053664665912