Prime p₀= 2309185992539149979 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2309185352801632559	0 2 14 42 60 72 114 140 174 200 242 254 272 300 312 314	-639737517420
STPT(10)	2309185639616383709	0 2 18 20 30 32 42 44 60 62	-352922766270
TPT(14)	2309185727748001847	0 2 24 26 84 86 90 92 174 176 180 182 222 224	-264791148132
SPT(16)	2309185829885836921	0 6 28 60 76 82 118 120 178 180 216 222 238 270 292 298	-162653313058
STPT(10)	2309185856051292467	0 2 30 32 42 44 54 56 84 86	-136487857512
STPT(10)	2309185961128823471	0 2 30 32 60 62 90 92 120 122	-31410326508
SPT(16)	2309186067542743651	0 12 40 70 82 96 132 160 252 280 316 330 342 372 400 412	75003593672
SPT(16)	2309186089849567427	0 6 14 32 36 42 126 176 240 290 374 380 384 402 410 416	97310417448
SPT(16)	2309186537292390499	0 22 58 64 72 144 154 168 214 228 238 310 318 324 360 382	544753240520
SPT(16)	2309186743039176053	0 14 20 30 44 56 86 144 170 228 258 270 284 294 300 314	750500026074
SPT(16)	2309186913248190289	0 42 52 118 132 172 174 178 294 298 300 340 354 420 430 472	920709040310