Prime p₀= 1246572460123660757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 76 2 10 2 4 2 22 2 16 2 (?)
a_n: 0 2 84 86 162 164 174 176 180 182 204 206 222 224
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: 224
Found by: biodoc
db: batch=77, k=14, 82 76 10 4 22 16

SPT(16)	1246571641409984543	0 24 30 38 44 54 56 66 68 78 80 90 96 104 110 134	-818713676214
STPT(10)	1246571667591650987	0 2 30 32 72 74 114 116 144 146	-792532009770
SPT(16)	1246571785595965307	0 24 36 90 92 96 162 182 204 224 290 294 296 350 362 386	-674527695450
SPT(16)	1246571795929274611	0 46 102 142 156 168 220 252 286 318 370 382 396 436 492 538	-664194386146
SPT(16)	1246572170253759691	0 16 42 52 82 168 180 192 226 238 250 336 366 376 402 418	-289869901066
STPT(10)	1246572372675047387	0 2 12 14 72 74 132 134 144 146	-87448613370
SPT(16)	1246572527556303307	0 40 96 136 142 154 162 166 180 184 192 204 210 250 306 346	67432642550
TPT(14)	1246572539023455779	0 2 102 104 132 134 198 200 258 260 288 290 300 302	78899795022
STPT(10)	1246572817913023421	0 2 6 8 18 20 30 32 36 38	357789362664
STPT(10)	1246573322174860637	0 2 24 26 42 44 60 62 84 86	862051199880
SPT(16)	1246573422616618661	0 12 68 80 102 108 132 138 152 158 182 188 210 222 278 290	962492957904