Prime p₀= 1164215120151339437 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: vaughan
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1164214554177423127	0 16 30 46 54 114 126 184 192 250 262 322 330 346 360 376	-565973916310
SPT(16)	1164214576917885511	0 18 58 72 90 96 142 162 166 186 232 238 256 270 310 328	-543233453926
SPT(16)	1164214619505417133	0 10 16 40 54 66 70 96 154 180 184 196 210 234 240 250	-500645922304
STPT(10)	1164214739770896017	0 2 12 14 42 44 72 74 84 86	-380380443420
SPT(16)	1164214880612114677	0 30 34 100 120 126 136 154 162 180 190 196 216 282 286 316	-239539224760
STPT(10)	1164215057866336907	0 2 30 32 72 74 114 116 144 146	-62285002530
TPT(14)	1164215266361053721	0 2 126 128 246 248 306 308 330 332 336 338 390 392	146209714284
SPT(16)	1164215553340696561	0 40 66 118 136 138 148 180 328 360 370 372 390 442 468 508	433189357124
SPT(16)	1164215950645806089	0 12 30 54 84 114 122 128 174 180 188 218 248 272 290 302	830494466652
SPT(16)	1164216272323615409	0 20 44 54 68 78 104 134 174 204 230 240 254 264 288 308	1152172275972
SPT(16)	1164216412693972069	0 34 84 168 204 208 210 304 318 412 414 418 454 538 588 622	1292542632632