Prime p₀= 2540354404026328007 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: Paul
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2540353448428143329	0 2 18 20 60 62 102 104 120 122	-955598184678
STPT(10)	2540353547155380959	0 2 30 32 60 62 90 92 120 122	-856870947048
SPT(16)	2540353741013721739	0 64 78 138 142 162 172 250 252 330 340 360 364 424 438 502	-663012606268
STPT(10)	2540353749568507421	0 2 6 8 48 50 90 92 96 98	-654457820586
SPT(16)	2540353985012302913	0 26 56 60 116 180 194 224 276 306 320 384 440 444 474 500	-419014025094
SPT(16)	2540354054522198093	0 26 44 60 104 126 134 138 176 180 188 210 254 270 288 314	-349504129914
SPT(16)	2540354471379818591	0 2 12 26 50 56 66 92 156 182 192 198 222 236 246 248	67353490584
TPT(14)	2540354552073003137	0 2 24 26 42 44 84 86 90 92 174 176 180 182	148046675130
SPT(16)	2540355720271556611	0 6 12 22 36 40 78 88 120 130 168 172 186 196 202 208	1316245228604
SPT(16)	2540355910485193961	0 2 12 20 42 146 210 212 240 242 306 410 432 440 450 452	1506458865954
SPT(16)	2540355929260136359	0 12 28 54 64 94 130 142 150 162 198 228 238 264 280 292	1525233808352