Prime p₀= 2396903915475525887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Xenon
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2396901961612274377	0 10 24 42 70 100 114 126 160 172 186 216 244 262 276 286	-1953863251510
STPT(10)	2396902062229262657	0 2 24 26 42 44 60 62 84 86	-1853246263230
SPT(16)	2396902148594400497	0 84 110 120 152 156 162 194 222 254 260 264 296 306 332 416	-1766881125390
SPT(16)	2396902626927475949	0 18 144 150 234 284 294 300 308 314 324 374 458 464 590 608	-1288548049938
SPT(18)	2396902681947548183	0 6 14 50 66 80 120 128 164 180 216 224 264 278 294 330 338 344	-1233527977704
SPT(16)	2396903529977321731	0 46 48 58 60 108 130 156 190 216 238 286 288 298 300 346	-385498204156
SPT(16)	2396903940897929063	0 86 90 98 156 174 194 210 284 300 320 338 396 404 408 494	25422403176
SPT(16)	2396904119487957307	0 22 34 72 82 142 196 202 204 210 264 324 334 372 384 406	204012431420
STPT(10)	2396904161804783747	0 2 30 32 42 44 54 56 84 86	246329257860
STPT(10)	2396904418389553559	0 2 48 50 90 92 132 134 180 182	502914027672
STPT(10)	2396904884649023207	0 2 30 32 42 44 54 56 84 86	969173497320