Prime p₀= 2562709770234668807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

STPT(12)	2562708797937072989	0 2 78 80 120 122 198 200 240 242 318 320	-972297595818
SPT(16)	2562708824957445049	0 88 90 174 204 210 244 250 288 294 328 334 364 448 450 538	-945277223758
STPT(10)	2562708907165226591	0 2 36 38 78 80 120 122 156 158	-863069442216
TPT(14)	2562709549342470557	0 2 12 14 54 56 84 86 120 122 162 164 204 206	-220892198250
SPT(16)	2562709633004324099	0 32 60 90 92 132 150 164 168 182 200 240 242 272 300 332	-137230344708
SPT(16)	2562709763686370533	0 30 34 36 60 78 88 96 148 156 166 184 208 210 214 244	-6548298274
SPT(16)	2562709970942687413	0 16 58 64 66 70 94 126 178 210 234 238 240 246 288 304	200708018606
TPT(14)	2562710073969906197	0 2 84 86 192 194 204 206 414 416 432 434 450 452	303735237390
STPT(10)	2562710098351287551	0 2 6 8 18 20 30 32 36 38	328116618744
STPT(10)	2562710216164078949	0 2 42 44 90 92 138 140 180 182	445929410142
SPT(16)	2562710438953218893	0 8 36 54 80 86 104 126 218 240 258 264 290 308 336 344	668718550086