Prime p₀= 2566728248423167391 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 88 2 88 2 76 2 (?)
a_n: 0 2 78 80 168 170 258 260 336 338
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: 338
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 76 2 88 2

SPT(16)	2566725951520137007	0 6 12 40 46 76 90 112 150 172 186 216 222 250 256 262	-2296903030384
STPT(10)	2566726580973732719	0 2 48 50 150 152 252 254 300 302	-1667449434672
STPT(10)	2566727072446534091	0 2 6 8 48 50 90 92 96 98	-1175976633300
STPT(10)	2566727261645728169	0 2 18 20 30 32 42 44 60 62	-986777439222
STPT(10)	2566727782869796727	0 2 30 32 42 44 54 56 84 86	-465553370664
SPT(16)	2566728176936050973	0 20 26 110 126 164 186 230 234 278 300 338 354 438 444 464	-71487116418
TPT(14)	2566728362063670809	0 2 30 32 90 92 168 170 210 212 222 224 252 254	113640503418
SPT(16)	2566728663518645713	0 6 16 24 48 90 118 126 148 156 184 226 250 258 268 274	415095478322
STPT(10)	2566729177125413351	0 2 6 8 18 20 30 32 36 38	928702245960
TPT(14)	2566729459042732769	0 2 30 32 78 80 162 164 168 170 282 284 342 344	1210619565378
STPT(10)	2566729586115002897	0 2 30 32 42 44 54 56 84 86	1337691835506