Prime p₀= 2275137930875488487 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2275136955128953891	0 6 40 78 108 118 136 156 160 180 198 208 238 276 310 316	-975746534596
SPT(16)	2275136969164931303	0 14 24 38 50 54 110 120 194 204 260 264 276 290 300 314	-961710557184
SPT(16)	2275137127005317537	0 20 84 92 120 176 204 222 224 242 270 326 354 362 426 446	-803870170950
SPT(16)	2275137605595278261	0 6 12 18 56 80 90 122 126 158 168 192 230 236 242 248	-325280210226
SPT(16)	2275137661042189369	0 30 100 108 118 132 150 174 238 262 280 294 304 312 382 412	-269833299118
STPT(10)	2275137756286809287	0 2 30 32 42 44 54 56 84 86	-174588679200
STPT(10)	2275138104135038447	0 2 30 32 42 44 54 56 84 86	173259549960
STPT(10)	2275138156790598677	0 2 30 32 42 44 54 56 84 86	225915110190
SPT(16)	2275138402005603179	0 12 38 104 110 140 204 210 272 278 342 372 378 444 470 482	471130114692
STPT(10)	2275138747051349321	0 2 6 8 18 20 30 32 36 38	816175860834
SPT(16)	2275138996977732829	0 4 12 102 208 214 240 264 328 352 378 384 490 580 588 592	1066102244342