Prime p₀= 3008754775306574687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 94 2 70 2 28 2 10 2 (?)
a_n: 0 2 24 26 54 56 150 152 222 224 252 254 264 266
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: 266
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 22 28 94 70 28 10

STPT(10)	3008753146700522951	0 2 36 38 78 80 120 122 156 158	-1628606051736
TPT(14)	3008753199187344641	0 2 30 32 180 182 198 200 216 218 396 398 426 428	-1576119230046
STPT(10)	3008753277311533247	0 2 60 62 72 74 84 86 144 146	-1497995041440
SPT(16)	3008753588872191593	0 14 68 80 96 98 116 164 270 318 336 338 354 366 420 434	-1186434383094
STPT(10)	3008753806813572869	0 2 18 20 30 32 42 44 60 62	-968493001818
SPT(16)	3008754502500342643	0 46 144 154 180 204 264 270 274 280 340 364 390 400 498 544	-272806232044
STPT(10)	3008755424654215799	0 2 12 14 90 92 168 170 180 182	649347641112
SPT(16)	3008756087634444083	0 26 30 80 96 114 170 200 234 264 320 338 354 404 408 434	1312327869396
SPT(16)	3008756136644735623	0 70 130 168 180 234 258 264 340 346 370 424 436 474 534 604	1361338160936
SPT(16)	3008756304653308379	0 44 48 128 150 164 174 218 240 284 294 308 330 410 414 458	1529346733692
SPT(16)	3008756334022274911	0 48 76 108 162 168 216 220 228 232 280 286 340 372 400 448	1558715700224