Prime p₀= 3741355098214289399 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: Sphynx
db: batch=84, k=10, 2 16 2 10 2

STPT(10)	3741354513995259947	0 2 30 32 60 62 90 92 120 122	-584219029452
STPT(10)	3741354706494774947	0 2 30 32 42 44 54 56 84 86	-391719514452
SPT(16)	3741354724378276559	0 24 30 60 80 98 114 140 228 254 270 288 308 338 344 368	-373836012840
STPT(10)	3741354825640899161	0 2 30 32 78 80 126 128 156 158	-272573390238
SPT(16)	3741354980887463119	0 82 154 160 168 202 208 270 322 384 390 424 432 438 510 592	-117326826280
STPT(10)	3741354987450783887	0 2 30 32 60 62 90 92 120 122	-110763505512
SPT(16)	3741356212009800749	0 32 44 60 72 80 92 162 200 270 282 290 302 318 330 362	1113795511350
SPT(16)	3741356489959414633	0 4 6 10 30 88 90 126 478 514 516 574 594 598 600 604	1391745125234
SPT(16)	3741356686231026757	0 16 82 96 126 136 154 166 240 252 270 280 310 324 390 406	1588016737358
STPT(10)	3741356739713325911	0 2 6 8 48 50 90 92 96 98	1641499036512
SPT(16)	3741356761939456873	0 36 66 96 108 118 166 168 358 360 408 418 430 460 490 526	1663725167474