Prime p₀= 2313279522711389381 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 208 2 28 2 154 2 52 2 16 2 40 2 (?)
a_n: 0 2 210 212 240 242 396 398 450 452 468 470 510 512
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 512
Found by: Landjunge
db: batch=81, k=14, 208 28 154 52 16 40

TPT(14)	2313278600383077827	0 2 42 44 132 134 222 224 360 362 372 374 414 416	-922328311554
SPT(16)	2313279058904081197	0 4 24 52 100 102 112 114 172 174 184 186 234 262 282 286	-463807308184
SPT(16)	2313279088213360381	0 36 48 78 90 142 168 192 196 220 246 298 310 340 352 388	-434498029000
SPT(16)	2313279225397522891	0 12 28 42 88 120 148 172 246 270 298 330 376 390 406 418	-297313866490
SPT(16)	2313279386709455663	0 20 38 44 48 90 104 114 134 144 158 200 204 210 228 248	-136001933718
SPT(16)	2313279494121240817	0 6 34 42 106 130 142 204 292 354 366 390 454 462 490 496	-28590148564
STPT(10)	2313280366872480581	0 2 36 38 78 80 120 122 156 158	844161091200
SPT(13)	2313280483365379529	0 18 24 60 78 84 144 204 210 228 264 270 288	960653990148
SPT(16)	2313280760844308201	0 6 48 62 90 122 150 162 176 188 216 248 276 290 332 338	1238132918820
STPT(10)	2313280932511169417	0 2 24 26 42 44 60 62 84 86	1409799780036
STPT(12)	2313281468016462239	0 2 60 62 72 74 90 92 102 104 162 164	1945305072858