Prime p₀= 2577587224427266109 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 40 2 16 2

TPT(14)	2577585698911317317	0 2 60 62 84 86 150 152 192 194 234 236 240 242	-1525515948792
STPT(10)	2577585855641855657	0 2 30 32 42 44 54 56 84 86	-1368785410452
SPT(16)	2577585876434461181	0 32 72 86 92 120 122 156 176 210 212 240 246 260 300 332	-1347992804928
SPT(16)	2577585942905519671	0 42 48 52 82 108 130 166 222 258 280 306 336 340 346 388	-1281521746438
STPT(10)	2577586860670516571	0 2 30 32 60 62 90 92 120 122	-363756749538
STPT(10)	2577586899921973109	0 2 18 20 30 32 42 44 60 62	-324505293000
SPT(16)	2577587764997333549	0 14 44 62 84 90 140 170 192 222 272 278 300 318 348 362	540570067440
STPT(10)	2577588196087345937	0 2 12 14 42 44 72 74 84 86	971660079828
STPT(10)	2577588225161597831	0 2 78 80 138 140 198 200 276 278	1000734331722
STPT(10)	2577588754288984529	0 2 42 44 60 62 78 80 120 122	1529861718420
SPT(16)	2577588811810244591	0 8 42 132 162 186 198 228 230 260 272 296 326 416 450 458	1587382978482