Prime p₀= 2690509068925300067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Asgard2022
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2690507698987283051	0 2 30 32 60 62 90 92 120 122	-1369938017016
SPT(16)	2690508015582103511	0 6 42 98 146 156 158 188 210 240 242 252 300 356 392 398	-1053343196556
SPT(16)	2690508024058994071	0 70 76 78 118 162 196 232 246 282 316 360 400 402 408 478	-1044866305996
TPT(14)	2690508369111524237	0 2 12 14 84 86 150 152 210 212 222 224 234 236	-699813775830
SPT(16)	2690508815585650349	0 2 50 110 134 168 170 222 290 342 344 378 402 462 510 512	-253339649718
STPT(10)	2690508934567947677	0 2 30 32 60 62 90 92 120 122	-134357352390
STPT(10)	2690509194201488909	0 2 18 20 30 32 42 44 60 62	125276188842
SPT(16)	2690509206488755373	0 8 14 54 78 144 194 200 414 420 470 536 560 600 606 614	137563455306
STPT(10)	2690509459349204807	0 2 30 32 42 44 54 56 84 86	390423904740
SPT(16)	2690509684878861953	0 20 24 38 66 84 90 156 158 224 230 248 276 290 294 314	615953561886
SPT(16)	2690509694412613511	0 32 92 102 152 168 176 218 270 312 320 336 386 396 456 488	625487313444