Prime p₀= 2309187459062522627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2309186089849567427	0 6 14 32 36 42 126 176 240 290 374 380 384 402 410 416	-1369212955200
SPT(16)	2309186537292390499	0 22 58 64 72 144 154 168 214 228 238 310 318 324 360 382	-921770132128
SPT(16)	2309186743039176053	0 14 20 30 44 56 86 144 170 228 258 270 284 294 300 314	-716023346574
SPT(16)	2309186913248190289	0 42 52 118 132 172 174 178 294 298 300 340 354 420 430 472	-545814332338
TPT(14)	2309186957637529727	0 2 84 86 90 92 132 134 162 164 270 272 300 302	-501424992900
STPT(10)	2309187087897825659	0 2 18 20 30 32 42 44 60 62	-371164696968
SPT(16)	2309187491956591271	0 6 12 68 72 78 120 132 176 188 230 236 240 296 302 308	32894068644
SPT(16)	2309187760469184011	0 8 36 42 50 92 146 186 212 252 306 348 356 362 390 398	301406661384
STPT(10)	2309188158458029991	0 2 6 8 18 20 30 32 36 38	699395507364
SPT(16)	2309188402735678421	0 20 48 68 86 116 126 128 198 200 210 240 258 278 306 326	943673155794
SPT(16)	2309188501696102837	0 4 46 90 100 126 132 136 150 154 160 186 196 240 282 286	1042633580210