Prime p₀= 2725713452698415321 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JohnMD
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2725712473738146811	0 46 48 70 106 118 142 162 196 216 240 252 288 310 312 358	-978960268510
STPT(10)	2725712537419466867	0 2 24 26 42 44 60 62 84 86	-915278948454
TPT(14)	2725713013551528029	0 2 30 32 42 44 72 74 120 122 150 152 168 170	-439146887292
STPT(10)	2725713137890965107	0 2 30 32 42 44 54 56 84 86	-314807450214
SPT(16)	2725713146329188959	0 32 38 138 150 158 228 242 300 314 384 392 404 504 510 542	-306369226362
STPT(10)	2725713186977633681	0 2 6 8 48 50 90 92 96 98	-265720781640
STPT(10)	2725714268035491881	0 2 36 38 78 80 120 122 156 158	815337076560
SPT(16)	2725714533017188151	0 6 8 20 62 98 110 138 140 168 180 216 258 270 272 278	1080318772830
STPT(10)	2725714815778834301	0 2 36 38 78 80 120 122 156 158	1363080418980
SPT(16)	2725714902421246543	0 34 66 78 84 100 108 126 148 166 174 190 196 208 240 274	1449722831222
SPT(16)	2725715317504831823	0 6 20 48 54 96 120 140 174 194 218 260 266 294 308 314	1864806416502