Prime p₀= 2402385675615385307 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: SEARCHER
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2402383879923121271	0 30 42 72 80 170 182 198 350 366 378 468 476 506 518 548	-1795692264036
STPT(10)	2402384530219773257	0 2 30 32 72 74 114 116 144 146	-1145395612050
SPT(16)	2402384933314616917	0 6 10 42 76 150 154 162 184 192 196 270 304 336 340 346	-742300768390
SPT(16)	2402385152790592943	0 8 68 84 86 108 114 176 198 260 266 288 290 306 366 374	-522824792364
STPT(10)	2402385175266748667	0 2 30 32 72 74 114 116 144 146	-500348636640
STPT(10)	2402385291607655441	0 2 6 8 48 50 90 92 96 98	-384007729866
SPT(16)	2402385742859076773	0 8 14 60 84 138 156 198 266 308 326 380 404 450 456 464	67243691466
SPT(16)	2402385809999645861	0 18 62 110 132 150 180 182 198 200 230 248 270 318 362 380	134384260554
STPT(10)	2402385900151605629	0 2 18 20 30 32 42 44 60 62	224536220322
STPT(10)	2402385956207035817	0 2 42 44 72 74 102 104 144 146	280591650510
STPT(10)	2402386063311790559	0 2 48 50 90 92 132 134 180 182	387696405252