Prime p₀= 2276133943435634057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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=81, k=10, 2 10 2 28 2

SPT(16)	2276132915636872093	0 28 40 84 88 120 130 154 174 198 208 240 244 288 300 328	-1027798761964
SPT(16)	2276133135069234941	0 68 78 90 126 146 168 218 258 308 330 350 386 398 408 476	-808366399116
SPT(16)	2276133146115410941	0 10 22 28 42 78 88 142 156 210 220 256 270 276 288 298	-797320223116
STPT(10)	2276133286809327731	0 2 30 32 78 80 126 128 156 158	-656626306326
SPT(16)	2276133664480565807	0 12 30 102 110 114 162 240 266 344 392 396 404 476 494 506	-278955068250
SPT(16)	2276133767018949991	0 6 18 52 88 132 220 222 256 258 346 390 426 460 472 478	-176416684066
STPT(10)	2276134211488227059	0 2 12 14 30 32 48 50 60 62	268052593002
STPT(10)	2276134291906190501	0 2 36 38 78 80 120 122 156 158	348470556444
STPT(10)	2276134551977830637	0 2 30 32 60 62 90 92 120 122	608542196580
STPT(10)	2276134590900958169	0 2 48 50 90 92 132 134 180 182	647465324112
STPT(10)	2276134785082144109	0 2 12 14 30 32 48 50 60 62	841646510052