Prime p₀= 2561904690158043407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: Orange Kid
db: batch=82, k=10, 2 58 2 40 2

STPT(10)	2561902753702492157	0 2 24 26 42 44 60 62 84 86	-1936455551250
SPT(16)	2561902907477780353	0 54 78 120 126 138 174 180 364 370 406 418 424 466 490 544	-1782680263054
SPT(16)	2561902931072204801	0 6 20 26 50 56 72 90 92 110 126 132 156 162 176 182	-1759085838606
SPT(16)	2561903007493774393	0 30 36 40 54 66 70 100 120 150 154 166 180 184 190 220	-1682664269014
STPT(10)	2561904265883015189	0 2 42 44 90 92 138 140 180 182	-424275028218
SPT(16)	2561904267597186497	0 6 86 104 152 164 182 222 284 324 342 354 402 420 500 506	-422560856910
STPT(10)	2561904900268340327	0 2 30 32 42 44 54 56 84 86	210110296920
STPT(10)	2561904995474522879	0 2 18 20 30 32 42 44 60 62	305316479472
SPT(16)	2561905108875930211	0 18 66 76 136 148 168 192 196 220 240 252 312 322 370 388	418717886804
SPT(16)	2561905112568102893	0 20 26 50 54 104 120 140 210 230 246 296 300 324 330 350	422410059486
SPT(16)	2561905345686071699	0 14 18 62 114 140 158 174 248 264 282 308 360 404 408 422	655528028292