Prime p₀= 2637385049388506111 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2637384213744317431	0 18 42 52 60 168 196 228 370 402 430 538 546 556 580 598	-835644188680
STPT(10)	2637384223979285321	0 2 30 32 78 80 126 128 156 158	-825409220790
SPT(16)	2637384227268866783	0 8 14 30 36 86 110 170 204 264 288 338 344 360 366 374	-822119639328
TPT(14)	2637384538074185279	0 2 18 20 30 32 48 50 78 80 90 92 120 122	-511314320832
SPT(16)	2637384582911854901	0 2 26 38 48 72 116 140 198 222 266 290 300 312 336 338	-466476651210
STPT(10)	2637384584993244179	0 2 18 20 30 32 42 44 60 62	-464395261932
SPT(16)	2637385131933629183	0 18 30 66 140 144 156 176 318 338 350 354 428 464 476 494	82545123072
STPT(10)	2637385528706609951	0 2 6 8 48 50 90 92 96 98	479318103840
STPT(10)	2637385631545579007	0 2 30 32 60 62 90 92 120 122	582157072896
STPT(10)	2637386000572722281	0 2 36 38 78 80 120 122 156 158	951184216170
STPT(10)	2637386859089920757	0 2 30 32 42 44 54 56 84 86	1809701414646