Prime p₀= 2565712878503216339 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2565711650660193793	0 28 70 106 118 156 174 184 300 310 328 366 378 414 456 484	-1227843022546
STPT(10)	2565711801365345429	0 2 18 20 30 32 42 44 60 62	-1077137870910
SPT(16)	2565711816104687251	0 22 52 88 198 210 282 288 430 436 508 520 630 666 696 718	-1062398529088
SPT(16)	2565711827680525673	0 44 90 108 128 134 158 164 210 216 240 246 266 284 330 374	-1050822690666
SPT(16)	2565712229396082037	0 6 24 34 64 66 84 96 274 286 304 306 336 346 364 370	-649107134302
SPT(16)	2565712483049503063	0 24 40 70 94 100 136 138 196 198 234 240 264 294 310 334	-395453713276
SPT(16)	2565712959393672041	0 6 42 62 66 140 162 186 272 296 318 392 396 416 452 458	80890455702
SPT(16)	2565713158283037911	0 12 18 42 56 68 102 122 156 176 210 222 236 260 266 278	279779821572
STPT(12)	2565713214580863077	0 2 24 26 54 56 120 122 150 152 174 176	336077646738
SPT(18)	2565713294726902217	0 44 80 134 146 204 230 234 240 260 266 270 296 354 366 420 456 500	416223685878
SPT(16)	2565713328167728663	0 28 36 70 78 84 138 166 168 196 250 256 264 298 306 334	449664512324