Prime p₀= 2591391440633813729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: biodoc
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2591390886939636337	0 10 34 66 136 142 156 166 210 220 234 240 310 342 366 376	-553694177392
SPT(16)	2591391020865682121	0 32 72 108 158 168 182 186 272 276 290 300 350 386 426 458	-419768131608
TPT(14)	2591391123076375649	0 2 12 14 72 74 108 110 162 164 240 242 318 320	-317557438080
SPT(16)	2591391136686151687	0 6 42 52 60 72 76 112 114 150 154 166 174 184 220 226	-303947662042
SPT(16)	2591391187297909049	0 14 20 30 50 54 132 152 240 260 338 342 362 372 378 392	-253335904680
SPT(16)	2591391235351691431	0 22 72 112 130 168 190 192 226 228 250 288 306 346 396 418	-205282122298
SPT(16)	2591391636377127977	0 24 50 56 84 122 156 200 246 290 324 362 390 396 422 446	195743314248
STPT(10)	2591391993820654667	0 2 30 32 42 44 54 56 84 86	553186840938
SPT(16)	2591392245097226227	0 16 30 72 126 172 174 216 220 262 264 310 364 406 420 436	804463412498
STPT(10)	2591392697117247839	0 2 12 14 30 32 48 50 60 62	1256483434110
STPT(10)	2591392988411227841	0 2 36 38 78 80 120 122 156 158	1547777414112