Prime p₀= 2097512575963224599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 10 2 76 2

SPT(16)	2097511984989305279	0 14 24 30 42 92 150 152 180 182 240 290 302 308 318 332	-590973919320
STPT(10)	2097512111045587667	0 2 54 56 72 74 90 92 144 146	-464917636932
STPT(10)	2097512281204167011	0 2 30 32 60 62 90 92 120 122	-294759057588
SPT(16)	2097512332695433681	0 40 46 58 76 88 96 102 166 172 180 192 210 222 228 268	-243267790918
TPT(14)	2097512417354350439	0 2 48 50 78 80 132 134 198 200 282 284 312 314	-158608874160
SPT(16)	2097512444367956663	0 56 80 138 168 186 236 248 336 348 398 416 446 504 528 584	-131595267936
TPT(14)	2097512728234995941	0 2 60 62 126 128 240 242 288 290 336 338 366 368	152271771342
SPT(16)	2097512996637368897	0 2 14 66 72 104 114 212 234 332 342 374 380 432 444 446	420674144298
STPT(10)	2097513449423353601	0 2 6 8 48 50 90 92 96 98	873460129002
STPT(10)	2097513827978360177	0 2 12 14 42 44 72 74 84 86	1252015135578
STPT(10)	2097514163682917867	0 2 30 32 42 44 54 56 84 86	1587719693268