Prime p₀= 2768835138782459519 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: fzs600
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2768834261665048009	0 70 72 90 102 124 138 154 228 244 258 280 292 310 312 382	-877117411510
SPT(16)	2768834293750612561	0 6 40 108 112 132 148 162 166 180 196 216 220 288 322 328	-845031846958
SPT(16)	2768834602463478781	0 18 42 60 66 78 102 130 168 196 220 232 238 256 280 298	-536318980738
STPT(10)	2768834768208917501	0 2 36 38 78 80 120 122 156 158	-370573542018
SPT(16)	2768834794820946829	0 64 90 112 174 190 214 234 358 378 402 418 480 502 528 592	-343961512690
TPT(14)	2768835056114658197	0 2 30 32 84 86 144 146 174 176 240 242 252 254	-82667801322
STPT(10)	2768835788512790387	0 2 30 32 42 44 54 56 84 86	649730330868
SPT(16)	2768836414219720891	0 40 60 88 106 210 228 238 258 268 286 390 408 436 456 496	1275437261372
STPT(10)	2768836534556804207	0 2 60 62 72 74 84 86 144 146	1395774344688
TPT(14)	2768836551089827571	0 2 36 38 78 80 90 92 138 140 150 152 168 170	1412307368052
SPT(16)	2768836609760110573	0 4 28 46 54 106 166 204 220 258 318 370 378 396 420 424	1470977651054