Prime p₀= 2577101667427008767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: JayPi
db: batch=82, k=10, 2 82 2 46 2

SPT(16)	2577101042680189687	0 30 34 60 76 100 154 180 190 216 270 294 310 336 340 370	-624746819080
SPT(16)	2577101290015304621	0 6 18 56 72 92 108 116 132 140 156 176 192 230 242 248	-377411704146
SPT(16)	2577101293775486147	0 54 60 74 96 146 150 176 234 260 264 314 336 350 356 410	-373651522620
STPT(10)	2577101456376319877	0 2 54 56 132 134 210 212 264 266	-211050688890
STPT(10)	2577101637014497517	0 2 12 14 42 44 72 74 84 86	-30412511250
SPT(16)	2577101662036377499	0 28 48 100 144 162 184 210 232 258 280 298 342 394 414 442	-5390631268
SPT(16)	2577101669276222323	0 34 76 120 154 160 186 196 264 274 300 306 340 384 426 460	1849213556
STPT(10)	2577101747067806141	0 2 30 32 120 122 210 212 240 242	79640797374
STPT(10)	2577102076600279901	0 2 30 32 78 80 126 128 156 158	409173271134
SPT(16)	2577102259292208911	0 60 90 96 138 156 168 186 212 230 242 260 302 308 338 398	591865200144
TPT(14)	2577102596612415239	0 2 42 44 198 200 210 212 252 254 258 260 300 302	929185406472