Prime p₀= 2356566201038499407 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: [AF>Le_Pommier] Jerome_C2005
db: batch=81, k=10, 2 22 2 16 2

TPT(16)	2356563615895358237	0 2 12 14 30 32 60 62 84 86 210 212 294 296 522 524	-2585143141170
STPT(10)	2356564247031247397	0 2 60 62 72 74 84 86 144 146	-1954007252010
SPT(16)	2356564790716482881	0 2 12 30 86 110 176 192 236 252 318 342 398 416 426 428	-1410322016526
SPT(16)	2356565086256571331	0 18 70 82 88 100 108 120 130 142 150 162 168 180 232 250	-1114781928076
STPT(10)	2356565326477341557	0 2 30 32 42 44 54 56 84 86	-874561157850
SPT(16)	2356565843515235501	0 42 116 132 156 162 186 198 230 242 266 272 296 312 386 428	-357523263906
SPT(16)	2356566236244639313	0 16 66 96 100 114 124 186 208 270 280 294 298 328 378 394	35206139906
STPT(10)	2356566289872475799	0 2 18 20 30 32 42 44 60 62	88833976392
SPT(16)	2356566519143796721	0 10 72 76 88 102 178 222 256 300 376 390 402 406 468 478	318105297314
SPT(16)	2356566652040621149	0 34 82 84 108 138 154 184 318 348 364 394 418 420 468 502	451002121742
SPT(16)	2356567040233510537	0 34 82 166 180 240 244 280 306 342 346 406 420 504 552 586	839195011130