Prime p₀= 2678329442086204607 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: Asgard2022
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2678327538497316889	0 28 30 42 82 84 112 150 172 210 238 240 280 292 294 322	-1903588887718
SPT(16)	2678328172819925711	0 2 12 38 50 56 78 96 152 170 192 198 210 236 246 248	-1269266278896
SPT(16)	2678328230391687857	0 20 86 92 102 126 132 140 162 170 176 200 210 216 282 302	-1211694516750
STPT(10)	2678328844054876679	0 2 42 44 60 62 78 80 120 122	-598031327928
TPT(14)	2678329012884737591	0 2 78 80 108 110 156 158 240 242 288 290 306 308	-429201467016
STPT(10)	2678329354853466929	0 2 18 20 30 32 42 44 60 62	-87232737678
SPT(16)	2678329503902633389	0 22 54 70 78 100 112 142 210 240 252 274 282 298 330 352	61816428782
STPT(10)	2678329506002388617	0 2 30 32 42 44 54 56 84 86	63916184010
SPT(16)	2678329547339004583	0 70 78 84 160 168 180 226 258 304 316 324 400 406 414 484	105252799976
STPT(10)	2678329726069438097	0 2 114 116 252 254 390 392 504 506	283983233490
STPT(10)	2678329951641039107	0 2 24 26 42 44 60 62 84 86	509554834500