Prime p₀= 2396946994211342369 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2396945903891678263	0 28 48 54 70 108 138 154 174 190 220 258 274 280 300 328	-1090319664106
STPT(10)	2396946115507477439	0 2 42 44 90 92 138 140 180 182	-878703864930
SPT(16)	2396946184527051967	0 36 42 76 102 132 162 190 216 244 274 304 330 364 370 406	-809684290402
STPT(10)	2396946242677146779	0 2 12 14 90 92 168 170 180 182	-751534195590
SPT(16)	2396946285633294667	0 52 82 94 132 154 160 166 180 186 192 214 252 264 294 346	-708578047702
STPT(10)	2396946485299976537	0 2 30 32 72 74 114 116 144 146	-508911365832
STPT(10)	2396947135036934507	0 2 24 26 42 44 60 62 84 86	140825592138
STPT(10)	2396947322334012977	0 2 60 62 72 74 84 86 144 146	328122670608
SPT(16)	2396947886505475991	0 30 42 122 150 156 188 252 296 360 392 398 426 506 518 548	892294133622
STPT(10)	2396948168592522269	0 2 48 50 90 92 132 134 180 182	1174381179900
STPT(10)	2396948506775220161	0 2 30 32 78 80 126 128 156 158	1512563877792