Prime p₀= 2166385564497678497 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: Ben
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2166384428710474277	0 2 30 32 42 44 54 56 84 86	-1135787204220
STPT(10)	2166384709528047059	0 2 42 44 60 62 78 80 120 122	-854969631438
STPT(10)	2166384855759128831	0 2 30 32 78 80 126 128 156 158	-708738549666
SPT(16)	2166385125478089767	0 20 26 44 56 86 104 110 186 192 210 240 252 270 276 296	-439019588730
SPT(16)	2166385256745659357	0 24 42 80 102 116 134 144 182 192 210 224 246 284 302 326	-307752019140
STPT(10)	2166385504131783017	0 2 30 32 72 74 114 116 144 146	-60365895480
SPT(16)	2166385900777602949	0 4 22 42 58 64 90 100 132 142 168 174 190 210 228 232	336279924452
SPT(16)	2166385953933225611	0 20 42 68 72 90 126 152 186 212 248 266 270 296 318 338	389435547114
STPT(10)	2166386431886865239	0 2 18 20 30 32 42 44 60 62	867389186742
SPT(16)	2166386624047228951	0 18 36 58 60 120 130 156 280 306 316 376 378 400 418 436	1059549550454
TPT(14)	2166386776797104009	0 2 12 14 30 32 120 122 150 152 168 170 222 224	1212299425512