Prime p₀= 1491418460867335379 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 70 2 10 2 124 2 28 2 (?)
a_n: 0 2 42 44 78 80 150 152 162 164 288 290 318 320
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: 320
Found by: Theadalus
db: batch=78, k=14, 40 34 70 10 124 28

SPT(16)	1491417425116837583	0 24 56 60 78 128 150 176 228 254 276 326 344 348 380 404	-1035750497796
STPT(10)	1491417869713731101	0 2 6 8 18 20 30 32 36 38	-591153604278
SPT(16)	1491417937974390941	0 6 26 36 48 72 78 138 170 230 236 260 272 282 302 308	-522892944438
STPT(10)	1491418120727971559	0 2 12 14 30 32 48 50 60 62	-340139363820
SPT(16)	1491418385666794003	0 6 18 48 96 124 168 178 336 346 390 418 466 496 508 514	-75200541376
STPT(10)	1491418414934479859	0 2 42 44 60 62 78 80 120 122	-45932855520
SPT(16)	1491418493806149889	0 4 52 60 70 84 142 154 180 192 250 264 274 282 330 334	32938814510
SPT(16)	1491418648294910659	0 78 84 240 244 282 318 322 360 364 400 438 442 598 604 682	187427575280
SPT(16)	1491419068734096269	0 18 50 54 78 120 140 144 158 162 182 224 248 252 284 302	607866760890
STPT(10)	1491419482702165571	0 2 36 38 78 80 120 122 156 158	1021834830192
STPT(10)	1491419546589984761	0 2 36 38 78 80 120 122 156 158	1085722649382