Prime p₀= 2449356886753856531 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 52 2 76 2 16 2 10 2 10 2 (?)
a_n: 0 2 6 8 60 62 138 140 156 158 168 170 180 182
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: 182
Found by: JayPi
db: batch=82, k=14, 4 52 76 16 10 10

TPT(14)	2449354277847681959	0 2 42 44 60 62 102 104 108 110 228 230 282 284	-2608906174572
TPT(14)	2449354820576085137	0 2 72 74 102 104 132 134 144 146 300 302 312 314	-2066177771394
SPT(16)	2449355263172206027	0 60 70 94 100 130 144 172 324 352 366 396 402 426 436 496	-1623581650504
SPT(16)	2449356052075726979	0 12 48 50 72 104 108 120 182 194 198 230 252 254 290 302	-834678129552
SPT(16)	2449356150137237801	0 50 92 132 140 150 182 192 218 228 260 270 278 318 360 410	-736616618730
STPT(10)	2449356746139700091	0 2 36 38 78 80 120 122 156 158	-140614156440
SPT(16)	2449356981839073067	0 10 46 76 90 144 166 186 244 264 286 340 354 384 420 430	95085216536
STPT(10)	2449357050178048469	0 2 18 20 30 32 42 44 60 62	163424191938
STPT(10)	2449357078872507257	0 2 24 26 42 44 60 62 84 86	192118650726
TPT(14)	2449357231212915899	0 2 12 14 30 32 108 110 168 170 192 194 210 212	344459059368
SPT(16)	2449357295908455601	0 58 88 130 138 168 210 240 298 328 370 400 408 450 480 538	409154599070