Prime p₀= 2066724923548999067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Cruncher Pete
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2066723807165318459	0 14 114 132 152 200 212 224 228 240 252 300 320 338 438 452	-1116383680608
TPT(16)	2066724063481135169	0 2 12 14 42 44 138 140 168 170 180 182 198 200 222 224	-860067863898
STPT(12)	2066724063481135169	0 2 12 14 42 44 138 140 168 170 180 182	-860067863898
SPT(16)	2066724319929814201	0 18 48 70 108 132 150 156 172 178 196 220 258 280 310 328	-603619184866
STPT(10)	2066724394489365971	0 2 6 8 48 50 90 92 96 98	-529059633096
STPT(10)	2066724485660743001	0 2 30 32 60 62 90 92 120 122	-437888256066
STPT(10)	2066725109318529587	0 2 54 56 72 74 90 92 144 146	185769530520
STPT(10)	2066725213998806237	0 2 30 32 60 62 90 92 120 122	290449807170
SPT(16)	2066725274340681373	0 48 58 66 70 108 144 180 214 250 286 324 328 336 346 394	350791682306
SPT(13)	2066725877496958109	0 18 90 102 108 120 210 300 312 318 330 402 420	953947959042
SPT(16)	2066725894730917193	0 26 86 96 126 170 200 218 246 264 294 338 368 378 438 464	971181918126