Prime p₀= 2121298306571595257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Coleslaw
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2121297088521256979	0 2 48 50 90 92 132 134 180 182	-1218050338278
STPT(10)	2121297603595242509	0 2 48 50 90 92 132 134 180 182	-702976352748
SPT(16)	2121297674435492957	0 32 42 54 110 132 144 152 222 230 242 264 320 332 342 374	-632136102300
SPT(16)	2121297694919469331	0 6 28 30 48 66 132 156 172 196 262 280 298 300 322 328	-611652125926
SPT(18)	2121297881950170971	0 42 48 68 80 92 110 150 182 186 218 258 276 288 300 320 326 368	-424621424286
STPT(10)	2121298024969356419	0 2 18 20 30 32 42 44 60 62	-281602238838
TPT(14)	2121298875166327247	0 2 54 56 72 74 210 212 222 224 264 266 282 284	568594731990
SPT(16)	2121299001411757483	0 4 30 46 84 166 186 196 198 208 228 310 348 364 390 394	694840162226
SPT(16)	2121299106858513301	0 10 18 66 132 136 180 192 196 208 252 256 322 370 378 388	800286918044
STPT(10)	2121299198055415907	0 2 42 44 72 74 102 104 144 146	891483820650
STPT(10)	2121299248314181667	0 2 30 32 42 44 54 56 84 86	941742586410