Prime p₀= 2311149125558703107 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: FritzB
db: batch=81, k=10, 2 10 2 28 2

SPT(13)	2311145941564949399	0 54 138 150 180 210 264 318 348 378 390 474 528	-3183993753708
SPT(16)	2311145980182684311	0 32 36 42 50 60 62 116 186 240 242 252 260 266 270 302	-3145376018796
SPT(16)	2311146587989308143	0 6 20 60 110 126 138 140 174 176 188 204 254 294 308 314	-2537569394964
STPT(10)	2311147812280823597	0 2 54 56 72 74 90 92 144 146	-1313277879510
TPT(14)	2311148559610108709	0 2 108 110 138 140 150 152 162 164 168 170 192 194	-565948594398
SPT(16)	2311149070515224987	0 14 54 56 126 146 186 216 230 260 300 320 390 392 432 446	-55043478120
STPT(10)	2311149127215699497	0 2 24 26 42 44 60 62 84 86	1656996390
SPT(16)	2311149184266712897	0 6 60 70 132 150 160 186 226 252 262 280 342 352 406 412	58708009790
STPT(10)	2311149233938642379	0 2 18 20 60 62 102 104 120 122	108379939272
SPT(16)	2311149312428367269	0 8 24 42 48 50 60 78 104 122 132 134 140 158 174 182	186869664162
SPT(16)	2311149519249651161	0 2 32 42 50 152 162 212 228 278 288 390 398 408 438 440	393690948054