Prime p₀= 2592566231214339617 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: Roadranner
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2592564267263545427	0 2 30 32 72 74 114 116 144 146	-1963950794190
TPT(14)	2592564788694806699	0 2 42 44 48 50 72 74 270 272 312 314 408 410	-1442519532918
SPT(16)	2592564868364041811	0 6 18 30 32 60 78 108 140 170 188 216 218 230 242 248	-1362850297806
STPT(10)	2592565685299680059	0 2 12 14 30 32 48 50 60 62	-545914659558
STPT(10)	2592565934918653667	0 2 30 32 42 44 54 56 84 86	-296295685950
SPT(16)	2592566091265896349	0 28 30 70 90 114 148 154 198 204 238 262 282 322 324 352	-139948443268
SPT(16)	2592566315458544081	0 42 48 86 128 138 140 152 186 198 200 210 252 290 296 338	84244204464
SPT(16)	2592566562042714541	0 72 88 100 142 162 172 198 202 228 238 258 300 312 328 400	330828374924
STPT(10)	2592566623564333259	0 2 18 20 30 32 42 44 60 62	392349993642
SPT(16)	2592566715203136781	0 6 18 22 40 48 70 120 208 258 280 288 306 310 322 328	483988797164
TPT(14)	2592566731060803197	0 2 24 26 114 116 150 152 240 242 264 266 294 296	499846463580