Prime p₀= 2577588196087345937 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2577585876434461181	0 32 72 86 92 120 122 156 176 210 212 240 246 260 300 332	-2319652884756
SPT(16)	2577585942905519671	0 42 48 52 82 108 130 166 222 258 280 306 336 340 346 388	-2253181826266
STPT(10)	2577586860670516571	0 2 30 32 60 62 90 92 120 122	-1335416829366
STPT(10)	2577586899921973109	0 2 18 20 30 32 42 44 60 62	-1296165372828
STPT(10)	2577587224427266109	0 2 42 44 60 62 78 80 120 122	-971660079828
SPT(16)	2577587764997333549	0 14 44 62 84 90 140 170 192 222 272 278 300 318 348 362	-431090012388
STPT(10)	2577588225161597831	0 2 78 80 138 140 198 200 276 278	29074251894
STPT(10)	2577588754288984529	0 2 42 44 60 62 78 80 120 122	558201638592
SPT(16)	2577588811810244591	0 8 42 132 162 186 198 228 230 260 272 296 326 416 450 458	615722898654
TPT(14)	2577588856197767519	0 2 198 200 228 230 288 290 420 422 462 464 468 470	660110421582
STPT(10)	2577588912483065207	0 2 24 26 42 44 60 62 84 86	716395719270