Prime p₀= 2567317806915596429 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2567315685657731609	0 32 44 74 104 174 272 314 318 360 458 528 558 588 600 632	-2121257864820
SPT(16)	2567315989526987471	0 90 128 146 246 248 252 266 282 296 300 302 402 420 458 548	-1817388608958
SPT(16)	2567317275425198509	0 12 42 54 78 162 192 202 240 250 280 364 388 400 430 442	-531490397920
STPT(10)	2567317322011324847	0 2 30 32 42 44 54 56 84 86	-484904271582
TPT(14)	2567317471805519087	0 2 30 32 132 134 174 176 180 182 270 272 282 284	-335110077342
SPT(16)	2567317602405398807	0 2 12 26 56 60 66 72 110 116 122 126 156 170 180 182	-204510197622
STPT(10)	2567318974576348829	0 2 48 50 90 92 132 134 180 182	1167660752400
SPT(16)	2567320129276582019	0 8 20 42 54 72 110 134 138 162 200 218 230 252 264 272	2322360985590
STPT(10)	2567320412405347769	0 2 42 44 60 62 78 80 120 122	2605489751340
SPT(16)	2567320677820246841	0 36 38 50 56 78 128 146 150 168 218 240 246 258 260 296	2870904650412
STPT(10)	2567320840828350107	0 2 54 56 72 74 90 92 144 146	3033912753678