Prime p₀= 3091374610648257137 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: L@MiR
db: batch=83, k=10, 2 10 2 28 2

SPT(16)	3091371935090556241	0 36 66 76 172 178 208 238 270 300 330 336 432 442 472 508	-2675557700896
SPT(16)	3091372174706283823	0 24 28 34 40 84 124 144 154 174 214 258 264 270 274 298	-2435941973314
STPT(10)	3091373571863441717	0 2 30 32 72 74 114 116 144 146	-1038784815420
SPT(16)	3091373764380478001	0 12 78 80 120 138 182 218 222 258 302 320 360 362 428 440	-846267779136
STPT(10)	3091374208836567089	0 2 18 20 60 62 102 104 120 122	-401811690048
SPT(16)	3091374348362811059	0 38 72 84 128 152 240 264 308 332 420 444 488 500 534 572	-262285446078
SPT(16)	3091374996058069933	0 4 24 28 46 58 70 76 168 174 186 198 216 220 240 244	385409812796
STPT(10)	3091375204835078387	0 2 30 32 72 74 114 116 144 146	594186821250
SPT(16)	3091376170372791233	0 44 78 84 86 126 150 186 308 344 368 408 410 416 450 494	1559724534096
SPT(16)	3091376723815058677	0 10 52 60 84 102 124 126 190 192 214 232 256 264 306 316	2113166801540
SPT(16)	3091376798910861763	0 24 40 54 60 78 106 126 148 168 196 214 220 234 250 274	2188262604626