Prime p₀= 2147865067577175209 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: Landjunge
db: batch=80, k=10, 2 46 2 40 2

SPT(16)	2147863949433419857	0 22 70 72 94 126 142 202 234 294 310 342 364 366 414 436	-1118143755352
STPT(10)	2147864192355852791	0 2 6 8 18 20 30 32 36 38	-875221322418
STPT(10)	2147864294463109427	0 2 30 32 102 104 174 176 204 206	-773114065782
SPT(16)	2147864515779563639	0 44 48 78 104 198 212 242 270 300 314 408 434 464 468 512	-551797611570
TPT(14)	2147864863510724327	0 2 12 14 30 32 54 56 72 74 180 182 222 224	-204066450882
STPT(10)	2147864935762973627	0 2 30 32 72 74 114 116 144 146	-131814201582
STPT(10)	2147865145047081077	0 2 60 62 102 104 144 146 204 206	77469905868
STPT(10)	2147865173233245029	0 2 12 14 90 92 168 170 180 182	105656069820
STPT(10)	2147865272402131781	0 2 36 38 78 80 120 122 156 158	204824956572
STPT(10)	2147865323861261831	0 2 30 32 78 80 126 128 156 158	256284086622
SPT(16)	2147865654591731267	0 14 20 30 56 62 74 86 90 102 114 120 146 156 162 176	587014556058