Prime p₀= 2002427894154602987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 220 2 58 2 118 2 16 2 (?)
a_n: 0 2 42 44 90 92 312 314 372 374 492 494 510 512
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: 512
Found by: Landjunge
db: batch=80, k=14, 40 46 220 58 118 16

STPT(10)	2002426884668819969	0 2 42 44 90 92 138 140 180 182	-1009485783018
TPT(14)	2002426987645530491	0 2 78 80 90 92 108 110 168 170 258 260 276 278	-906509072496
STPT(12)	2002427111689098791	0 2 30 32 48 50 138 140 156 158 186 188	-782465504196
SPT(16)	2002427418221177557	0 12 16 30 42 112 126 192 214 280 294 364 376 390 394 406	-475933425430
SPT(16)	2002427579126278999	0 4 10 30 70 100 132 142 162 172 204 234 274 294 300 304	-315028323988
STPT(10)	2002427783039242829	0 2 48 50 90 92 132 134 180 182	-111115360158
STPT(10)	2002427986916773859	0 2 42 44 60 62 78 80 120 122	92762170872
SPT(16)	2002428531848501327	0 50 54 114 126 146 174 224 252 302 330 350 362 422 426 476	637693898340
SPT(16)	2002428582413627521	0 46 60 70 76 82 96 160 222 286 300 306 312 322 336 382	688259024534
SPT(16)	2002428741509697013	0 18 60 64 94 120 126 144 160 178 184 210 240 244 286 304	847355094026
TPT(14)	2002428750605862539	0 2 78 80 102 104 132 134 198 200 270 272 312 314	856451259552