Prime p₀= 2971775122720364291 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 10 2 34 2 70 2 16 2 (?)
a_n: 0 2 60 62 78 80 90 92 126 128 198 200 216 218
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: 218
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 58 16 10 34 70 16

STPT(10)	2971773503182034459	0 2 18 20 30 32 42 44 60 62	-1619538329832
STPT(10)	2971773623983368887	0 2 12 14 72 74 132 134 144 146	-1498736995404
STPT(10)	2971773794450927021	0 2 6 8 48 50 90 92 96 98	-1328269437270
SPT(16)	2971773866984131511	0 30 80 92 156 158 186 236 252 302 330 332 396 408 458 488	-1255736232780
STPT(10)	2971775066887737137	0 2 30 32 42 44 54 56 84 86	-55832627154
SPT(16)	2971775098238253397	0 6 34 60 76 94 96 100 210 214 216 234 250 276 304 310	-24482110894
SPT(16)	2971775443548218999	0 20 32 72 150 170 174 180 284 290 294 314 392 432 444 464	320827854708
SPT(16)	2971775542079757901	0 10 46 76 102 108 138 180 208 250 280 286 312 342 378 388	419359393610
SPT(16)	2971776017305908877	0 42 72 82 84 136 142 166 240 264 270 322 324 334 364 406	894585544586
STPT(10)	2971776671074717871	0 2 30 32 78 80 126 128 156 158	1548354353580
STPT(10)	2971777252553465831	0 2 138 140 168 170 198 200 336 338	2129833101540