Prime p₀= 2334747936382177697 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=81, k=10, 2 52 2 76 2

STPT(10)	2334747333639143921	0 2 36 38 78 80 120 122 156 158	-602743033776
SPT(16)	2334747633374741033	0 38 50 74 80 86 108 120 164 176 198 204 210 234 246 284	-303007436664
SPT(16)	2334747878199561271	0 12 52 96 108 150 166 198 250 282 298 340 352 396 436 448	-58182616426
STPT(10)	2334747882905542961	0 2 36 38 108 110 180 182 216 218	-53476634736
STPT(10)	2334747906423522437	0 2 12 14 42 44 72 74 84 86	-29958655260
SPT(16)	2334747933653005009	0 10 34 52 174 210 222 244 258 280 292 328 450 468 492 502	-2729172688
STPT(10)	2334747972723753047	0 2 24 26 42 44 60 62 84 86	36341575350
SPT(16)	2334748252264810087	0 10 34 76 96 124 156 160 216 220 252 280 300 342 366 376	315882632390
SPT(16)	2334748558586180251	0 12 16 48 78 126 142 208 240 306 322 370 400 432 436 448	622204002554
STPT(10)	2334748661220244427	0 2 54 56 72 74 90 92 144 146	724838066730
SPT(16)	2334749049501102313	0 10 70 78 106 136 154 178 186 210 228 258 286 294 354 364	1113118924616