Prime p₀= 2045599669770464711 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 82 2 16 2 28 2 76 2 40 2 (?)
a_n: 0 2 36 38 120 122 138 140 168 170 246 248 288 290
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: 290
Found by: Dingo
db: batch=80, k=14, 34 82 16 28 76 40

SPT(16)	2045598456939866249	0 32 54 84 102 122 128 180 182 234 240 260 278 308 330 362	-1212830598462
TPT(14)	2045598657130020269	0 2 30 32 102 104 132 134 168 170 198 200 258 260	-1012640444442
SPT(16)	2045598940592213077	0 4 24 40 42 66 82 96 100 114 130 154 156 172 192 196	-729178251634
SPT(16)	2045598957521541101	0 8 18 30 38 42 72 80 198 206 236 240 248 260 270 278	-712248923610
STPT(10)	2045599096498226411	0 2 6 8 18 20 30 32 36 38	-573272238300
SPT(16)	2045599631105029609	0 4 18 30 58 64 100 154 264 318 354 360 388 400 414 418	-38665435102
STPT(10)	2045599781943572597	0 2 30 32 42 44 54 56 84 86	112173107886
STPT(10)	2045599947809991269	0 2 48 50 90 92 132 134 180 182	278039526558
STPT(10)	2045600384340586259	0 2 18 20 30 32 42 44 60 62	714570121548
STPT(10)	2045600448029407847	0 2 30 32 42 44 54 56 84 86	778258943136
STPT(10)	2045601020016024179	0 2 18 20 60 62 102 104 120 122	1350245559468