Prime p₀= 2147468048481100487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 40 2 46 2 10 2 154 2 (?)
a_n: 0 2 42 44 72 74 114 116 162 164 174 176 330 332
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: 332
Found by: Landjunge
db: batch=80, k=14, 40 28 40 46 10 154

SPT(16)	2147465654866195849	0 12 28 54 72 94 100 124 138 162 168 190 208 234 250 262	-2393614904638
TPT(14)	2147465659854822551	0 2 60 62 138 140 180 182 366 368 396 398 486 488	-2388626277936
STPT(10)	2147465770555012007	0 2 42 44 72 74 102 104 144 146	-2277926088480
SPT(16)	2147465859672275321	0 20 26 48 72 156 158 168 230 240 242 326 350 372 378 398	-2188808825166
STPT(10)	2147466282877461989	0 2 18 20 60 62 102 104 120 122	-1765603638498
SPT(16)	2147467379584318849	0 12 28 58 70 84 88 144 148 204 208 222 234 264 280 292	-668896781638
SPT(16)	2147468115215482957	0 6 42 46 52 72 84 132 214 262 274 294 300 304 340 346	66734382470
STPT(10)	2147468498117821829	0 2 18 20 30 32 42 44 60 62	449636721342
STPT(10)	2147468558991581249	0 2 48 50 90 92 132 134 180 182	510510480762
SPT(16)	2147468748147159137	0 12 26 54 56 72 84 86 150 152 164 180 182 210 224 236	699666058650
STPT(10)	2147468835354193157	0 2 42 44 72 74 102 104 144 146	786873092670