Prime p₀= 2117079277024124027 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

STPT(10)	2117077821652177157	0 2 42 44 72 74 102 104 144 146	-1455371946870
SPT(16)	2117078027947365863	0 14 24 30 44 56 134 150 260 276 354 366 380 386 396 410	-1249076758164
SPT(16)	2117078040226733693	0 30 84 104 158 186 194 198 296 300 308 336 390 410 464 494	-1236797390334
SPT(16)	2117078128492599359	0 2 50 62 72 110 132 138 374 380 402 440 450 462 510 512	-1148531524668
SPT(16)	2117078149625392529	0 8 20 42 44 114 140 240 272 372 398 468 470 492 504 512	-1127398731498
STPT(10)	2117079256444899947	0 2 54 56 72 74 90 92 144 146	-20579224080
TPT(14)	2117079474635730881	0 2 48 50 78 80 126 128 150 152 180 182 246 248	197611606854
TPT(16)	2117079529212069179	0 2 60 62 90 92 198 200 288 290 312 314 372 374 378 380	252187945152
SPT(16)	2117079596157737927	0 2 20 24 30 60 132 144 170 182 254 284 290 294 312 314	319133613900
SPT(16)	2117079689096666477	0 36 50 84 96 120 126 140 240 254 260 284 296 330 344 380	412072542450
SPT(16)	2117079887187272443	0 10 18 30 76 94 126 148 156 178 210 228 274 286 294 304	610163148416