Prime p₀= 853135863893352617 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: scrap
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	853134955722608729	0 2 42 44 60 62 78 80 120 122	-908170743888
STPT(10)	853135111890619841	0 2 6 8 48 50 90 92 96 98	-752002732776
SPT(16)	853135464724358597	0 12 62 84 104 110 122 144 182 204 216 222 242 264 314 326	-399168994020
SPT(16)	853135509969527011	0 22 36 40 42 148 166 168 220 222 240 346 348 352 366 388	-353923825606
TPT(14)	853135665542370629	0 2 102 104 150 152 240 242 402 404 408 410 438 440	-198350981988
SPT(16)	853135840465242427	0 22 30 64 106 136 144 150 196 202 210 240 282 316 324 346	-23428110190
SPT(16)	853135878160604209	0 34 40 52 54 70 100 124 150 174 204 220 222 234 240 274	14267251592
STPT(10)	853136140691022239	0 2 42 44 60 62 78 80 120 122	276797669622
STPT(10)	853136240522041937	0 2 24 26 42 44 60 62 84 86	376628689320
SPT(16)	853136256217439599	0 54 208 214 322 324 340 370 432 462 478 480 588 594 748 802	392324086982
SPT(16)	853136385283168981	0 40 88 108 120 156 166 180 238 252 262 298 310 330 378 418	521389816364