Prime p₀= 2117762614752899687 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

TPT(14)	2117761968604753067	0 2 102 104 114 116 174 176 282 284 342 344 420 422	-646148146620
SPT(16)	2117761985635443463	0 78 96 106 114 144 154 166 228 240 250 280 288 298 316 394	-629117456224
STPT(10)	2117762114742520787	0 2 30 32 72 74 114 116 144 146	-500010378900
STPT(10)	2117762241157919141	0 2 30 32 78 80 126 128 156 158	-373594980546
SPT(16)	2117762473469613199	0 28 78 130 160 168 172 192 340 360 364 372 402 454 504 532	-141283286488
SPT(16)	2117762514722514437	0 32 42 56 92 110 116 144 152 180 186 204 240 254 264 296	-100030385250
STPT(10)	2117763059884692929	0 2 18 20 60 62 102 104 120 122	445131793242
TPT(14)	2117763274280073359	0 2 120 122 210 212 300 302 342 344 480 482 492 494	659527173672
TPT(14)	2117763393257265431	0 2 150 152 186 188 198 200 240 242 270 272 276 278	778504365744
STPT(10)	2117763407251767599	0 2 18 20 60 62 102 104 120 122	792498867912
STPT(10)	2117763494986910591	0 2 6 8 18 20 30 32 36 38	880234010904