Prime p₀= 2556342379416215639 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2556341487083911859	0 2 12 14 90 92 168 170 180 182	-892332303780
SPT(16)	2556341635445070449	0 62 98 114 152 194 210 300 302 392 408 450 488 504 540 602	-743971145190
SPT(16)	2556341989699762333	0 6 34 40 84 94 130 196 234 300 336 346 390 396 424 430	-389716453306
STPT(10)	2556342090239198081	0 2 6 8 18 20 30 32 36 38	-289177017558
STPT(10)	2556342305517031781	0 2 36 38 78 80 120 122 156 158	-73899183858
STPT(10)	2556342333116363411	0 2 6 8 48 50 90 92 96 98	-46299852228
TPT(14)	2556343087366839047	0 2 144 146 210 212 264 266 270 272 312 314 342 344	707950623408
SPT(16)	2556343975828813021	0 40 48 108 118 150 178 192 238 252 280 312 322 382 390 430	1596412597382
STPT(10)	2556344104355458127	0 2 60 62 72 74 84 86 144 146	1724939242488
SPT(18)	2556344201989003073	0 8 14 20 26 90 156 224 240 284 300 368 434 498 504 510 516 524	1822572787434
SPT(16)	2556344274476324599	0 88 114 138 144 148 180 208 270 298 330 334 340 364 390 478	1895060108960