Prime p₀= 2768804467803629987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 46 2 10 2 64 2 58 2 40 2 (?)
a_n: 0 2 84 86 132 134 144 146 210 212 270 272 312 314
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: 314
Found by: [B^S]ABoskovich
db: batch=82, k=14, 82 46 10 64 58 40

STPT(10)	2768802833977626371	0 2 30 32 78 80 126 128 156 158	-1633826003616
SPT(16)	2768802845302936627	0 40 64 72 76 82 160 202 204 246 324 330 334 342 366 406	-1622500693360
STPT(10)	2768803392863626169	0 2 18 20 30 32 42 44 60 62	-1074940003818
STPT(10)	2768803660644120497	0 2 30 32 72 74 114 116 144 146	-807159509490
SPT(16)	2768803921204727363	0 6 18 26 48 80 84 104 150 170 174 206 228 236 248 254	-546598902624
SPT(16)	2768804164959441341	0 6 12 18 32 68 98 140 318 360 390 426 440 446 452 458	-302844188646
SPT(16)	2768804494162312267	0 22 34 54 72 154 156 226 270 340 342 424 442 462 474 496	26358682280
SPT(16)	2768804913956986703	0 8 44 56 116 138 144 200 414 470 476 498 558 570 606 614	446153356716
SPT(16)	2768805008964036877	0 22 30 66 72 90 142 150 196 204 256 274 280 316 324 346	541160406890
STPT(10)	2768805593077930529	0 2 12 14 30 32 48 50 60 62	1125274300542
SPT(16)	2768805720155082067	0 10 40 82 144 160 174 180 286 292 306 322 384 426 456 466	1252351452080