Prime p₀= 2157094561191862709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2157093842200750487	0 2 60 62 72 74 84 86 144 146	-718991112222
SPT(16)	2157093924656301979	0 24 34 84 88 112 132 160 162 190 210 234 238 288 298 322	-636535560730
SPT(16)	2157094227150171721	0 40 66 70 88 96 156 298 360 502 562 570 588 592 618 658	-334041690988
TPT(14)	2157094415847544049	0 2 60 62 120 122 162 164 198 200 282 284 288 290	-145344318660
TPT(14)	2157094420525864451	0 2 90 92 210 212 216 218 366 368 420 422 426 428	-140665998258
STPT(10)	2157094508149340657	0 2 60 62 72 74 84 86 144 146	-53042522052
SPT(16)	2157094965476094493	0 10 28 48 84 100 120 178 180 238 258 274 310 330 348 358	404284231784
STPT(10)	2157095104802654801	0 2 36 38 78 80 120 122 156 158	543610792092
SPT(16)	2157095970342897097	0 10 16 24 76 112 142 210 226 294 324 360 412 420 426 436	1409151034388
SPT(16)	2157096063325007281	0 88 96 196 262 312 360 382 396 418 466 516 582 682 690 778	1502133144572
STPT(10)	2157096138900566387	0 2 30 32 42 44 54 56 84 86	1577708703678