Prime p₀= 2081069590167787787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Tomáš Brada
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2081067636494053289	0 8 12 14 78 84 104 168 194 258 278 284 348 350 354 362	-1953673734498
SPT(16)	2081068073331485813	0 14 126 150 186 194 204 290 324 410 420 428 464 488 600 614	-1516836301974
TPT(14)	2081068387750202531	0 2 36 38 48 50 90 92 198 200 228 230 246 248	-1202417585256
SPT(16)	2081068650975608513	0 14 38 84 140 168 234 300 308 374 440 468 524 570 594 608	-939192179274
STPT(10)	2081069016969750089	0 2 42 44 60 62 78 80 120 122	-573198037698
SPT(16)	2081069390061036827	0 50 56 90 92 144 152 156 200 204 212 264 266 300 306 356	-200106750960
STPT(10)	2081069674377955379	0 2 18 20 30 32 42 44 60 62	84210167592
SPT(16)	2081069804582760221	0 18 32 42 102 150 158 170 228 240 248 296 356 366 380 398	214414972434
SPT(16)	2081069974413503971	0 18 36 42 88 100 126 150 238 262 288 300 346 352 370 388	384245716184
SPT(16)	2081070048006328231	0 6 40 76 132 178 216 286 402 472 510 556 612 648 682 688	457838540444
STPT(10)	2081070238959432569	0 2 30 32 60 62 90 92 120 122	648791644782