Prime p₀= 2565170699755814201 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Coleslaw
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2565169715405817209	0 2 18 20 30 32 42 44 60 62	-984349996992
SPT(16)	2565169888870192739	0 2 42 44 128 132 134 150 182 198 200 204 288 290 330 332	-810885621462
SPT(13)	2565169984594075907	0 12 72 90 102 132 156 180 210 222 240 300 312	-715161738294
SPT(16)	2565170104763624921	0 62 68 72 90 122 128 138 140 150 156 188 206 210 216 278	-594992189280
SPT(16)	2565170254748543633	0 14 36 38 60 66 98 170 204 276 308 314 336 338 360 374	-445007270568
SPT(16)	2565170594408539907	0 12 56 60 84 104 110 122 174 186 192 212 236 240 284 296	-105347274294
SPT(16)	2565170791024460369	0 2 20 62 78 92 150 158 342 350 408 422 438 480 498 500	91268646168
SPT(16)	2565171708258076811	0 12 20 48 90 138 152 158 210 216 230 278 320 348 356 368	1008502262610
SPT(16)	2565171712666946387	0 2 12 26 54 72 116 144 212 240 284 302 330 344 354 356	1012911132186
STPT(10)	2565171906141529427	0 2 12 14 42 44 72 74 84 86	1206385715226
SPT(16)	2565172277145811699	0 34 70 108 130 192 204 210 262 268 280 342 364 402 438 472	1577389997498