Prime p₀= 2562658021396012451 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

STPT(10)	2562656495103691109	0 2 12 14 30 32 48 50 60 62	-1526292321342
SPT(16)	2562657122566488449	0 12 14 38 68 98 138 164 168 194 234 264 294 318 320 332	-898829524002
SPT(16)	2562657436420909571	0 8 30 60 78 116 156 216 242 302 342 380 398 428 450 458	-584975102880
SPT(16)	2562657649204106147	0 2 12 156 194 212 224 302 354 432 444 462 500 644 654 656	-372191906304
SPT(16)	2562657896432755663	0 24 70 78 150 154 210 226 258 274 330 334 406 414 460 484	-124963256788
SPT(16)	2562658015092669409	0 24 48 70 112 142 168 172 240 244 270 300 342 364 388 412	-6303343042
STPT(10)	2562658113733464947	0 2 30 32 72 74 114 116 144 146	92337452496
STPT(10)	2562658120057948667	0 2 60 62 72 74 84 86 144 146	98661936216
SPT(16)	2562658188821535193	0 4 46 54 60 70 90 114 226 250 270 280 286 294 336 340	167425522742
SPT(16)	2562658548100964981	0 12 108 128 152 162 182 210 248 276 296 306 330 350 446 458	526704952530
STPT(12)	2562658856345649569	0 2 30 32 60 62 72 74 102 104 132 134	834949637118