Prime p₀= 2674887652547056937 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: biodoc
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2674886830610892109	0 18 28 42 90 94 120 130 132 142 168 172 220 234 244 262	-821936164828
STPT(10)	2674886871093219581	0 2 66 68 138 140 210 212 276 278	-781453837356
SPT(16)	2674887215729239781	0 18 26 56 72 78 98 110 228 240 260 266 282 312 320 338	-436817817156
SPT(16)	2674887256909472041	0 6 40 72 90 112 120 156 202 238 246 268 286 318 352 358	-395637584896
STPT(10)	2674887260293947107	0 2 54 56 132 134 210 212 264 266	-392253109830
SPT(16)	2674887414597559561	0 46 60 70 88 100 108 126 130 148 156 168 186 196 210 256	-237949497376
SPT(16)	2674888264302900593	0 24 36 38 48 50 78 134 180 236 264 266 276 278 290 314	611755843656
STPT(10)	2674888303819605689	0 2 12 14 30 32 48 50 60 62	651272548752
STPT(10)	2674888339452667601	0 2 6 8 48 50 90 92 96 98	686905610664
SPT(16)	2674888564949374337	0 26 36 42 90 102 170 222 260 312 380 392 440 446 456 482	912402317400
SPT(16)	2674888896720379441	0 16 48 58 82 130 142 148 180 186 198 246 270 280 312 328	1244173322504