Prime p₀= 2313509075743263449 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: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2313507647133311771	0 2 6 8 18 20 30 32 36 38	-1428609951678
SPT(16)	2313507654492913579	0 10 64 82 84 130 138 142 150 154 162 208 210 228 282 292	-1421250349870
SPT(16)	2313508311461246059	0 40 54 70 112 114 138 142 240 244 268 270 312 328 342 382	-764282017390
STPT(10)	2313508599913630277	0 2 54 56 72 74 90 92 144 146	-475829633172
SPT(16)	2313508677529602961	0 6 16 30 58 66 70 90 136 156 160 168 196 210 220 226	-398213660488
STPT(10)	2313509046019253207	0 2 30 32 72 74 114 116 144 146	-29724010242
SPT(16)	2313509360524640983	0 24 138 154 174 178 180 214 294 328 330 334 354 370 484 508	284781377534
SPT(16)	2313509654258067407	0 2 24 80 90 104 114 140 156 182 192 206 216 272 294 296	578514803958
SPT(16)	2313509701493610379	0 4 12 22 82 118 148 174 238 264 294 330 390 400 408 412	625750346930
SPT(16)	2313509747716469741	0 38 50 62 126 132 140 182 186 228 236 242 306 318 330 368	671973206292
SPT(13)	2313509803882764677	0 24 36 60 186 204 270 336 354 480 504 516 540	728139501228