Prime p₀= 1246572539023455779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 28 2 64 2 58 2 28 2 10 2 (?)
a_n: 0 2 102 104 132 134 198 200 258 260 288 290 300 302
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: 302
Found by: biodoc
db: batch=77, k=14, 100 28 64 58 28 10

SPT(16)	1246571785595965307	0 24 36 90 92 96 162 182 204 224 290 294 296 350 362 386	-753427490472
SPT(16)	1246571795929274611	0 46 102 142 156 168 220 252 286 318 370 382 396 436 492 538	-743094181168
SPT(16)	1246572170253759691	0 16 42 52 82 168 180 192 226 238 250 336 366 376 402 418	-368769696088
STPT(10)	1246572372675047387	0 2 12 14 72 74 132 134 144 146	-166348408392
TPT(14)	1246572460123660757	0 2 84 86 162 164 174 176 180 182 204 206 222 224	-78899795022
SPT(16)	1246572527556303307	0 40 96 136 142 154 162 166 180 184 192 204 210 250 306 346	-11467152472
STPT(10)	1246572817913023421	0 2 6 8 18 20 30 32 36 38	278889567642
STPT(10)	1246573322174860637	0 2 24 26 42 44 60 62 84 86	783151404858
SPT(16)	1246573422616618661	0 12 68 80 102 108 132 138 152 158 182 188 210 222 278 290	883593162882
SPT(16)	1246573680884741509	0 4 24 40 54 84 108 112 150 154 178 208 222 238 258 262	1141861285730
STPT(10)	1246574006537760779	0 2 48 50 90 92 132 134 180 182	1467514305000