Prime p₀= 2367138502138121627 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2367136696469413327	0 4 34 60 72 90 112 114 130 132 154 172 184 210 240 244	-1805668708300
SPT(16)	2367136927564800947	0 2 12 24 44 62 110 140 204 234 282 300 320 332 342 344	-1574573320680
TPT(14)	2367136947851204609	0 2 90 92 108 110 150 152 192 194 348 350 378 380	-1554286917018
SPT(16)	2367137113008513499	0 12 30 84 90 108 112 114 118 120 124 142 148 202 220 232	-1389129608128
SPT(16)	2367138369694828129	0 4 70 72 78 112 114 138 154 178 180 214 220 222 288 292	-132443293498
SPT(16)	2367138385387204607	0 50 62 72 84 126 150 180 206 236 260 302 314 324 336 386	-116750917020
STPT(10)	2367138834201350981	0 2 36 38 78 80 120 122 156 158	332063229354
STPT(10)	2367139362209842301	0 2 6 8 48 50 90 92 96 98	860071720674
SPT(16)	2367139871375668801	0 12 60 90 118 156 166 222 256 312 322 360 388 418 466 478	1369237547174
STPT(10)	2367139959541287899	0 2 12 14 150 152 288 290 300 302	1457403166272
SPT(16)	2367140000406677599	0 94 138 178 258 264 270 280 318 328 334 340 420 460 504 598	1498268555972