Prime p₀= 2768805953942614667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 58 2 10 2 28 2 4 2 (?)
a_n: 0 2 30 32 72 74 132 134 144 146 174 176 180 182
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: 182
Found by: [B^S]ABoskovich
db: batch=82, k=14, 28 40 58 10 28 4

SPT(16)	2768804494162312267	0 22 34 54 72 154 156 226 270 340 342 424 442 462 474 496	-1459780302400
SPT(16)	2768804913956986703	0 8 44 56 116 138 144 200 414 470 476 498 558 570 606 614	-1039985627964
SPT(16)	2768805008964036877	0 22 30 66 72 90 142 150 196 204 256 274 280 316 324 346	-944978577790
STPT(10)	2768805593077930529	0 2 12 14 30 32 48 50 60 62	-360864684138
SPT(16)	2768805720155082067	0 10 40 82 144 160 174 180 286 292 306 322 384 426 456 466	-233787532600
STPT(10)	2768805795420434849	0 2 48 50 60 62 72 74 120 122	-158522179818
STPT(10)	2768807128445651351	0 2 36 38 78 80 120 122 156 158	1174503036684
STPT(10)	2768807145121032929	0 2 12 14 90 92 168 170 180 182	1191178418262
TPT(14)	2768807604248851967	0 2 72 74 84 86 102 104 114 116 270 272 312 314	1650306237300
SPT(16)	2768807888472563347	0 12 70 82 120 132 174 202 204 232 274 286 324 336 394 406	1934529948680
SPT(16)	2768807910404446901	0 6 12 30 56 72 92 110 162 180 200 216 242 260 266 272	1956461832234