Prime p₀= 2690508934567947677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Asgard2022
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2690507611995375827	0 2 30 32 72 74 114 116 144 146	-1322572571850
STPT(10)	2690507698987283051	0 2 30 32 60 62 90 92 120 122	-1235580664626
SPT(16)	2690508015582103511	0 6 42 98 146 156 158 188 210 240 242 252 300 356 392 398	-918985844166
SPT(16)	2690508024058994071	0 70 76 78 118 162 196 232 246 282 316 360 400 402 408 478	-910508953606
TPT(14)	2690508369111524237	0 2 12 14 84 86 150 152 210 212 222 224 234 236	-565456423440
SPT(16)	2690508815585650349	0 2 50 110 134 168 170 222 290 342 344 378 402 462 510 512	-118982297328
STPT(10)	2690509068925300067	0 2 30 32 42 44 54 56 84 86	134357352390
STPT(10)	2690509194201488909	0 2 18 20 30 32 42 44 60 62	259633541232
SPT(16)	2690509206488755373	0 8 14 54 78 144 194 200 414 420 470 536 560 600 606 614	271920807696
STPT(10)	2690509459349204807	0 2 30 32 42 44 54 56 84 86	524781257130
SPT(16)	2690509684878861953	0 20 24 38 66 84 90 156 158 224 230 248 276 290 294 314	750310914276