Prime p₀= 2564880517406776739 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)	2564878939378005959	0 2 18 20 60 62 102 104 120 122	-1578028770780
TPT(14)	2564879019391513241	0 2 30 32 60 62 126 128 138 140 156 158 180 182	-1498015263498
SPT(16)	2564879303028094799	0 18 42 80 140 158 222 234 278 290 354 372 432 470 494 512	-1214378681940
STPT(10)	2564879654191609787	0 2 42 44 132 134 222 224 264 266	-863215166952
STPT(12)	2564879718509202527	0 2 12 14 54 56 180 182 222 224 234 236	-798897574212
STPT(10)	2564879948580596147	0 2 54 56 72 74 90 92 144 146	-568826180592
SPT(16)	2564880524827364267	0 6 30 44 66 186 200 216 350 366 380 500 522 536 560 566	7420587528
SPT(16)	2564880770436700943	0 8 36 44 50 56 104 156 188 240 288 294 300 308 336 344	253029924204
STPT(10)	2564880773561366801	0 2 30 32 78 80 126 128 156 158	256154590062
STPT(10)	2564880828893793647	0 2 30 32 42 44 54 56 84 86	311487016908
SPT(16)	2564880972739776473	0 6 30 56 128 164 170 186 278 294 300 336 408 434 458 464	455332999734