Prime p₀= 2682119065013677109 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2682118220965498559	0 14 18 38 54 60 72 84 98 110 122 128 144 164 168 182	-844048178550
STPT(10)	2682118234501326161	0 2 30 32 78 80 126 128 156 158	-830512350948
STPT(10)	2682118452319756787	0 2 30 32 42 44 54 56 84 86	-612693920322
SPT(16)	2682118516433757169	0 48 58 72 88 118 132 142 198 208 222 252 268 282 292 340	-548579919940
STPT(10)	2682118714441583141	0 2 6 8 48 50 90 92 96 98	-350572093968
TPT(14)	2682118863960706319	0 2 132 134 162 164 240 242 282 284 372 374 378 380	-201052970790
SPT(16)	2682119347001615113	0 6 10 28 54 60 64 76 138 150 154 160 186 204 208 214	281987938004
SPT(16)	2682119426594874533	0 38 66 120 126 156 170 198 386 414 428 458 464 518 546 584	361581197424
STPT(10)	2682119453962269689	0 2 18 20 30 32 42 44 60 62	388948592580
SPT(16)	2682119504103409423	0 6 30 58 130 144 186 198 226 238 280 294 366 394 418 424	439089732314
SPT(16)	2682119701697351947	0 12 42 82 96 120 132 142 174 184 196 220 234 274 304 316	636683674838