Prime p₀= 2791486170191467319 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 238 2 40 2 106 2 28 2 46 2 22 2 (?)
a_n: 0 2 240 242 282 284 390 392 420 422 468 470 492 494
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: 494
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 238 40 106 28 46 22

STPT(10)	2791484838394361957	0 2 12 14 42 44 72 74 84 86	-1331797105362
STPT(10)	2791485030805106771	0 2 36 38 78 80 120 122 156 158	-1139386360548
SPT(16)	2791485125843113361	0 2 8 48 60 162 200 212 216 228 266 368 380 420 426 428	-1044348353958
SPT(16)	2791485540592958399	0 54 78 80 98 108 120 158 204 242 254 264 282 284 308 362	-629598508920
STPT(12)	2791485778692590519	0 2 12 14 72 74 78 80 138 140 150 152	-391498876800
STPT(10)	2791485873040284179	0 2 12 14 90 92 168 170 180 182	-297151183140
SPT(16)	2791486332476011463	0 60 126 144 156 170 194 206 258 270 294 308 320 338 404 464	162284544144
SPT(16)	2791486337350542109	0 18 28 40 64 88 90 124 174 208 210 234 258 270 280 298	167159074790
SPT(16)	2791486395188722013	0 26 54 68 90 98 110 126 128 144 156 164 186 200 228 254	224997254694
STPT(10)	2791486460946395057	0 2 24 26 42 44 60 62 84 86	290754927738
SPT(16)	2791486510397108213	0 74 84 158 174 224 288 306 308 326 390 440 456 530 540 614	340205640894