Prime p₀= 1264990778572319717 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 4 2 82 2 106 2 10 2 34 2 (?)
a_n: 0 2 84 86 90 92 174 176 282 284 294 296 330 332
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: 332
Found by: JohnMD
db: batch=77, k=14, 82 4 82 106 10 34

SPT(16)	1264989295430384413	0 84 88 108 148 180 220 238 246 264 304 336 376 396 400 484	-1483141935304
SPT(16)	1264989688969995551	0 36 50 62 66 78 98 182 216 300 320 332 336 348 362 398	-1089602324166
SPT(16)	1264989847296806369	0 12 32 72 74 84 110 120 134 144 170 180 182 222 242 254	-931275513348
SPT(16)	1264990085670157487	0 6 60 114 156 212 240 270 296 326 354 410 452 506 560 566	-692902162230
STPT(10)	1264990237865789759	0 2 42 44 60 62 78 80 120 122	-540706529958
SPT(16)	1264990264768354213	0 66 88 118 160 168 174 178 246 250 256 264 306 336 358 424	-513803965504
SPT(16)	1264991014323251351	0 26 42 80 86 92 96 110 138 152 156 162 168 206 222 248	235750931634
SPT(16)	1264991130022138039	0 22 42 72 174 204 210 222 262 274 280 310 412 442 462 484	351449818322
STPT(10)	1264991795252275967	0 2 30 32 60 62 90 92 120 122	1016679956250
STPT(10)	1264991869263762527	0 2 30 32 42 44 54 56 84 86	1090691442810
STPT(10)	1264992239942842391	0 2 36 38 78 80 120 122 156 158	1461370522674