Prime p₀= 2097512281204167011 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2097510639805360163	0 18 26 38 60 86 200 248 258 306 420 446 468 480 488 506	-1641398806848
STPT(10)	2097511210841630201	0 2 36 38 78 80 120 122 156 158	-1070362536810
SPT(16)	2097511368628280821	0 16 30 46 102 178 186 220 228 262 270 346 402 418 432 448	-912575886190
SPT(16)	2097511407038547047	0 36 44 72 114 122 140 146 270 276 294 302 344 372 380 416	-874165619964
SPT(16)	2097511984989305279	0 14 24 30 42 92 150 152 180 182 240 290 302 308 318 332	-296214861732
STPT(10)	2097512111045587667	0 2 54 56 72 74 90 92 144 146	-170158579344
SPT(16)	2097512332695433681	0 40 46 58 76 88 96 102 166 172 180 192 210 222 228 268	51491266670
TPT(14)	2097512417354350439	0 2 48 50 78 80 132 134 198 200 282 284 312 314	136150183428
SPT(16)	2097512444367956663	0 56 80 138 168 186 236 248 336 348 398 416 446 504 528 584	163163789652
STPT(10)	2097512575963224599	0 2 12 14 90 92 168 170 180 182	294759057588
TPT(14)	2097512728234995941	0 2 60 62 126 128 240 242 288 290 336 338 366 368	447030828930