Prime p₀= 2687642240153238437 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2687640724605233581	0 22 28 42 48 72 78 88 90 100 106 130 136 150 156 178	-1515548004856
TPT(14)	2687641259264566457	0 2 30 32 54 56 144 146 150 152 264 266 360 362	-980888671980
SPT(13)	2687641453583873719	0 72 102 132 150 174 192 210 234 252 282 312 384	-786569364718
STPT(10)	2687641469629899449	0 2 42 44 60 62 78 80 120 122	-770523338988
STPT(10)	2687641710014227397	0 2 54 56 72 74 90 92 144 146	-530139011040
SPT(16)	2687642035079690041	0 40 48 66 70 126 210 240 286 316 400 456 460 478 486 526	-205073548396
STPT(10)	2687642380777865471	0 2 36 38 78 80 120 122 156 158	140624627034
SPT(16)	2687642422619233201	0 12 22 36 90 96 132 202 246 316 352 358 412 426 436 448	182465994764
SPT(16)	2687642744382019483	0 48 64 78 90 118 154 174 190 210 246 274 286 300 316 364	504228781046
STPT(10)	2687642983533579737	0 2 30 32 42 44 54 56 84 86	743380341300
SPT(16)	2687643065376111811	0 12 36 90 150 216 226 262 306 342 352 418 478 532 556 568	825222873374