Prime p₀= 2249306937178762187 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Penguin
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2249304554671539503	0 6 56 108 144 146 158 228 266 336 348 350 386 438 488 494	-2382507222684
STPT(10)	2249304570548281151	0 2 6 8 48 50 90 92 96 98	-2366630481036
SPT(16)	2249304666006352391	0 8 38 50 68 78 92 98 132 138 152 162 180 192 222 230	-2271172409796
STPT(10)	2249304869256129239	0 2 18 20 60 62 102 104 120 122	-2067922632948
SPT(16)	2249305629566759041	0 82 108 120 126 276 322 348 370 396 442 592 598 610 636 718	-1307612003146
SPT(16)	2249305989802505531	0 8 32 36 50 78 98 122 126 150 170 198 212 216 240 248	-947376256656
SPT(16)	2249307615869991163	0 6 28 34 64 76 84 100 174 190 198 210 240 246 268 274	678691228976
STPT(10)	2249307839991001817	0 2 30 32 42 44 54 56 84 86	902812239630
SPT(16)	2249307873085666801	0 46 72 78 172 202 210 276 322 388 396 426 520 526 552 598	935906904614
SPT(16)	2249307927776584091	0 8 20 96 102 146 158 182 216 240 252 296 302 378 390 398	990597821904
TPT(14)	2249307979530829937	0 2 24 26 30 32 42 44 150 152 210 212 234 236	1042352067750