Prime p₀= 2577842610735129779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: SEARCHER
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2577840963421676791	0 12 90 108 132 166 178 180 208 210 222 256 280 298 376 388	-1647313452988
TPT(14)	2577841103758269959	0 2 162 164 198 200 252 254 372 374 390 392 408 410	-1506976859820
SPT(16)	2577841407537432259	0 12 40 58 108 150 214 262 300 348 412 454 504 522 550 562	-1203197697520
SPT(16)	2577841456503569273	0 30 54 96 120 134 164 168 176 180 210 224 248 290 314 344	-1154231560506
SPT(16)	2577842015192830681	0 10 12 70 192 282 306 322 390 406 430 520 642 700 702 712	-595542299098
SPT(16)	2577842406862644611	0 2 42 56 110 120 128 156 182 210 218 228 282 296 336 338	-203872485168
SPT(16)	2577842966239057399	0 10 18 54 120 154 180 198 220 238 264 298 364 400 408 418	355503927620
STPT(10)	2577842974452536027	0 2 30 32 42 44 54 56 84 86	363717406248
SPT(16)	2577843009189692927	0 14 50 74 92 126 176 224 282 330 380 414 432 456 492 506	398454563148
STPT(10)	2577843404866714487	0 2 24 26 42 44 60 62 84 86	794131584708
STPT(10)	2577843458473592987	0 2 30 32 42 44 54 56 84 86	847738463208