Prime p₀= 2309185856051292467 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(18)	2309184970538684951	0 12 26 42 66 96 98 146 150 188 192 240 242 272 296 312 326 338	-885512607516
STPT(10)	2309185179670837997	0 2 12 14 42 44 72 74 84 86	-676380454470
SPT(16)	2309185352801632559	0 2 14 42 60 72 114 140 174 200 242 254 272 300 312 314	-503249659908
STPT(10)	2309185639616383709	0 2 18 20 30 32 42 44 60 62	-216434908758
TPT(14)	2309185727748001847	0 2 24 26 84 86 90 92 174 176 180 182 222 224	-128303290620
SPT(16)	2309185829885836921	0 6 28 60 76 82 118 120 178 180 216 222 238 270 292 298	-26165455546
STPT(10)	2309185961128823471	0 2 30 32 60 62 90 92 120 122	105077531004
STPT(10)	2309185992539149979	0 2 12 14 90 92 168 170 180 182	136487857512
SPT(16)	2309186067542743651	0 12 40 70 82 96 132 160 252 280 316 330 342 372 400 412	211491451184
SPT(16)	2309186089849567427	0 6 14 32 36 42 126 176 240 290 374 380 384 402 410 416	233798274960
SPT(16)	2309186537292390499	0 22 58 64 72 144 154 168 214 228 238 310 318 324 360 382	681241098032