Prime p₀= 2779828692441397307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2779827512483605567	0 16 42 46 54 84 124 126 130 132 172 202 210 214 240 256	-1179957791740
TPT(14)	2779827616977403061	0 2 66 68 156 158 168 170 186 188 198 200 210 212	-1075463994246
SPT(16)	2779827648450479749	0 28 48 72 78 82 100 114 118 132 150 154 160 184 204 232	-1043990917558
SPT(16)	2779827711869758201	0 36 40 58 60 66 72 82 126 136 142 148 150 168 172 208	-980571639106
STPT(10)	2779828413497519141	0 2 6 8 18 20 30 32 36 38	-278943878166
SPT(16)	2779828434504774097	0 22 64 90 100 112 154 174 280 300 342 354 364 390 432 454	-257936623210
STPT(10)	2779828850081880209	0 2 18 20 30 32 42 44 60 62	157640482902
STPT(10)	2779828979632793897	0 2 12 14 72 74 132 134 144 146	287191396590
SPT(16)	2779829371559841947	0 12 54 62 110 146 150 176 210 236 240 276 324 332 374 386	679118444640
SPT(16)	2779829374462124293	0 64 84 88 124 130 138 166 228 256 264 270 306 310 330 394	682020726986
SPT(16)	2779829600757247733	0 6 14 38 60 128 248 258 266 276 396 464 486 510 518 524	908315850426