Prime p₀= 1122661622873323847 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: nickmcummins
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1122659941870663307	0 2 42 44 72 74 102 104 144 146	-1681002660540
STPT(10)	1122660006599219507	0 2 12 14 42 44 72 74 84 86	-1616274104340
STPT(12)	1122660284556752309	0 2 30 32 42 44 90 92 102 104 132 134	-1338316571538
TPT(14)	1122661135606040969	0 2 12 14 30 32 42 44 72 74 78 80 198 200	-487267282878
SPT(16)	1122661214428372679	0 20 42 62 98 104 144 194 258 308 348 354 390 410 432 452	-408444951168
SPT(16)	1122661421466787471	0 42 112 162 168 208 240 250 318 328 360 400 406 456 526 568	-201406536376
SPT(16)	1122661786742140717	0 24 46 52 64 106 130 174 232 276 300 342 354 360 382 406	163868816870
SPT(16)	1122661818926126177	0 6 62 114 164 180 182 194 252 264 266 282 332 384 440 446	196052802330
SPT(16)	1122662018100043987	0 10 66 70 82 90 96 130 132 166 172 180 192 196 252 262	395226720140
SPT(16)	1122662440822746679	0 4 10 18 84 94 108 120 268 280 294 304 370 378 384 388	817949422832
SPT(18)	1122662611408254599	0 20 72 104 140 158 170 174 182 330 338 342 354 372 408 440 492 512	988534930752