Prime p₀= 2821376030662545287 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 64 2 52 2 76 2 10 2 (?)
a_n: 0 2 24 26 84 86 150 152 204 206 282 284 294 296
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: 296
Found by: Josemi
db: batch=82, k=14, 22 58 64 52 76 10

STPT(10)	2821375056268929707	0 2 30 32 42 44 54 56 84 86	-974393615580
STPT(10)	2821375078420712249	0 2 18 20 60 62 102 104 120 122	-952241833038
SPT(16)	2821375673760391043	0 8 20 98 104 116 140 216 218 294 318 330 336 414 426 434	-356902154244
SPT(16)	2821375736689807937	0 14 44 80 84 120 234 266 324 356 470 506 510 546 576 590	-293972737350
SPT(16)	2821375798960663531	0 16 28 42 58 70 82 90 178 186 198 210 226 240 252 268	-231701881756
SPT(16)	2821375800184988971	0 60 82 96 100 148 196 222 256 282 330 378 382 396 418 478	-230477556316
SPT(16)	2821376088039972679	0 12 28 30 58 60 108 144 178 214 262 264 292 294 310 322	57377427392
SPT(16)	2821376418913590311	0 50 68 92 102 152 156 168 170 182 186 236 246 270 288 338	388251045024
STPT(10)	2821376507830945121	0 2 36 38 78 80 120 122 156 158	477168399834
SPT(16)	2821376720308074899	0 32 50 54 62 68 84 110 132 158 174 180 188 192 210 242	689645529612
SPT(16)	2821377001583327263	0 18 88 90 108 124 136 154 240 258 270 286 304 306 376 394	970920781976