Prime p₀= 2565162676809394271 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 46 2

STPT(10)	2565161188439295581	0 2 36 38 78 80 120 122 156 158	-1488370098690
STPT(10)	2565161195305998431	0 2 6 8 18 20 30 32 36 38	-1481503395840
SPT(16)	2565161626590284387	0 32 66 84 164 200 206 222 224 240 246 282 362 380 414 446	-1050219109884
SPT(16)	2565161917718976497	0 6 42 74 96 104 110 116 120 126 132 140 162 194 230 236	-759090417774
SPT(16)	2565161929245905377	0 12 22 24 42 66 124 142 204 222 280 304 322 324 334 346	-747563488894
SPT(16)	2565162070797334681	0 12 40 66 70 102 112 142 180 210 220 252 256 282 310 322	-606012059590
SPT(16)	2565162679075904597	0 30 72 74 92 144 152 224 240 312 320 372 390 392 434 464	2266510326
TPT(14)	2565162767300616269	0 2 12 14 90 92 138 140 210 212 348 350 378 380	90491221998
SPT(18)	2565162793358806429	0 18 28 52 70 112 130 180 210 232 262 312 330 372 390 414 424 442	116549412158
SPT(16)	2565163085745806509	0 12 40 52 84 90 118 160 222 264 292 298 330 342 370 382	408936412238
TPT(16)	2565163648002756401	0 2 66 68 150 152 168 170 186 188 276 278 336 338 366 368	971193362130