Prime p₀= 2122499343946178339 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2122496740107747761	0 8 30 66 90 92 98 108 140 150 156 158 182 218 240 248	-2603838430578
STPT(10)	2122496902217662679	0 2 42 44 60 62 78 80 120 122	-2441728515660
SPT(16)	2122497934566913637	0 32 56 74 86 96 122 126 170 174 200 210 222 240 264 296	-1409379264702
SPT(16)	2122498593565890389	0 2 38 42 50 72 90 134 168 212 230 252 260 264 300 302	-750380287950
SPT(16)	2122498830767712499	0 12 70 78 82 84 114 148 174 208 238 240 244 252 310 322	-513178465840
STPT(10)	2122498852333320917	0 2 30 32 42 44 54 56 84 86	-491612857422
STPT(10)	2122499385375825497	0 2 30 32 42 44 54 56 84 86	41429647158
SPT(16)	2122499969009976217	0 30 82 100 132 216 256 340 366 450 490 574 606 624 676 706	625063797878
SPT(16)	2122499993475047101	0 28 42 58 90 130 142 156 172 186 198 238 270 286 300 328	649528868762
SPT(16)	2122500335076500069	0 20 84 104 110 152 182 210 242 270 300 342 348 368 432 452	991130321730
STPT(10)	2122500393427931057	0 2 60 62 102 104 144 146 204 206	1049481752718