Prime p₀= 2066725213998806237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Cruncher Pete
db: batch=80, k=10, 2 28 2 28 2

STPT(12)	2066724063481135169	0 2 12 14 42 44 138 140 168 170 180 182	-1150517671068
SPT(16)	2066724319929814201	0 18 48 70 108 132 150 156 172 178 196 220 258 280 310 328	-894068992036
STPT(10)	2066724394489365971	0 2 6 8 48 50 90 92 96 98	-819509440266
STPT(10)	2066724485660743001	0 2 30 32 60 62 90 92 120 122	-728338063236
STPT(10)	2066724923548999067	0 2 12 14 72 74 132 134 144 146	-290449807170
STPT(10)	2066725109318529587	0 2 54 56 72 74 90 92 144 146	-104680276650
SPT(16)	2066725274340681373	0 48 58 66 70 108 144 180 214 250 286 324 328 336 346 394	60341875136
SPT(13)	2066725877496958109	0 18 90 102 108 120 210 300 312 318 330 402 420	663498151872
SPT(16)	2066725894730917193	0 26 86 96 126 170 200 218 246 264 294 338 368 378 438 464	680732110956
SPT(16)	2066726018777824553	0 6 8 56 90 120 186 188 198 200 266 296 330 378 380 386	804779018316
SPT(16)	2066726187719630537	0 42 72 80 84 86 116 140 216 240 270 272 276 284 314 356	973720824300