Prime p₀= 2866342727301262667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Landjunge
db: batch=82, k=10, 2 52 2 76 2

SPT(16)	2866341353722140341	0 42 68 78 102 150 152 176 192 216 218 266 290 300 326 368	-1373579122326
SPT(16)	2866341577133060317	0 22 40 64 100 120 124 132 154 162 166 186 222 246 264 286	-1150168202350
STPT(10)	2866341629056710977	0 2 30 32 42 44 54 56 84 86	-1098244551690
STPT(10)	2866341873132509867	0 2 30 32 42 44 54 56 84 86	-854168752800
SPT(16)	2866342340046450479	0 18 30 60 84 152 174 194 258 278 300 368 392 422 434 452	-387254812188
SPT(16)	2866342564518889597	0 96 120 142 172 186 220 246 256 282 316 330 360 382 406 502	-162782373070
SPT(16)	2866342923343403951	0 12 20 30 72 110 150 188 192 230 270 308 350 360 368 380	196042141284
STPT(10)	2866342975909039379	0 2 18 20 30 32 42 44 60 62	248607776712
SPT(16)	2866343575436693543	0 6 38 48 60 74 80 116 198 234 240 254 266 276 308 314	848135430876
SPT(16)	2866344427233371563	0 30 36 70 84 90 124 178 306 360 394 400 414 448 454 484	1699932108896
STPT(10)	2866344503317161407	0 2 30 32 72 74 114 116 144 146	1776015898740