Prime p₀= 2571173478080627471 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2571171042336465493	0 30 64 70 100 114 130 166 168 204 220 234 264 270 304 334	-2435744161978
TPT(14)	2571171395478139841	0 2 6 8 36 38 78 80 90 92 126 128 168 170	-2082602487630
SPT(16)	2571171464932700621	0 6 66 78 90 96 122 176 192 246 272 278 290 302 362 368	-2013147926850
SPT(16)	2571171476664779047	0 24 34 36 54 114 120 190 210 280 286 346 364 366 376 400	-2001415848424
SPT(16)	2571172427651488033	0 66 70 118 240 300 360 370 396 406 466 526 648 696 700 766	-1050429139438
STPT(10)	2571172848285111947	0 2 84 86 162 164 240 242 324 326	-629795515524
TPT(14)	2571173601060733259	0 2 42 44 48 50 108 110 138 140 180 182 288 290	122980105788
SPT(20)	2571173678828445913	0 60 106 178 216 250 286 288 294 300 334 340 346 348 384 418 456 528 574 634	200747818442
STPT(10)	2571174015081064649	0 2 12 14 90 92 168 170 180 182	537000437178
STPT(10)	2571174479715270227	0 2 30 32 42 44 54 56 84 86	1001634642756
SPT(16)	2571174497273943151	0 6 12 22 30 40 48 52 96 100 108 118 126 136 142 148	1019193315680