Prime p₀= 2516266201705603199 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 34 2 112 2 46 2 10 2 64 2 (?)
a_n: 0 2 72 74 108 110 222 224 270 272 282 284 348 350
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: 350
Found by: ANCHULA-MARK
db: batch=82, k=14, 70 34 112 46 10 64

SPT(16)	2516264965768554899	0 20 48 54 98 170 174 248 390 464 468 540 584 590 618 638	-1235937048300
STPT(10)	2516265091435824299	0 2 18 20 30 32 42 44 60 62	-1110269778900
STPT(10)	2516265356809898147	0 2 24 26 42 44 60 62 84 86	-844895705052
STPT(10)	2516265393232060367	0 2 72 74 102 104 132 134 204 206	-808473542832
STPT(10)	2516265501860071877	0 2 24 26 42 44 60 62 84 86	-699845531322
STPT(10)	2516265938475416249	0 2 12 14 150 152 288 290 300 302	-263230186950
STPT(10)	2516266584085537079	0 2 18 20 30 32 42 44 60 62	382379933880
STPT(10)	2516266762536835289	0 2 42 44 60 62 78 80 120 122	560831232090
TPT(14)	2516266888728943247	0 2 30 32 132 134 162 164 174 176 252 254 300 302	687023340048
SPT(16)	2516266911225374603	0 6 60 98 116 126 156 176 240 260 290 300 318 356 410 416	709519771404
SPT(16)	2516266914400967879	0 42 72 128 260 270 350 354 368 372 452 462 594 650 680 722	712695364680