Prime p₀= 2381909448704917667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 4 2 82 2 46 2 16 2 10 2 (?)
a_n: 0 2 84 86 90 92 174 176 222 224 240 242 252 254
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: 254
Found by: ChUcK
db: batch=81, k=14, 82 4 82 46 16 10

STPT(10)	2381908494177993029	0 2 18 20 30 32 42 44 60 62	-954526924638
TPT(14)	2381908661500571207	0 2 30 32 102 104 132 134 144 146 180 182 210 212	-787204346460
SPT(16)	2381908663968362933	0 6 20 24 60 84 126 140 150 164 206 230 266 270 284 290	-784736554734
SPT(16)	2381908764009387071	0 6 20 42 56 96 98 170 198 270 272 312 326 348 362 368	-684695530596
SPT(16)	2381909053294591787	0 110 126 162 186 200 234 326 330 422 456 470 494 530 546 656	-395410325880
SPT(16)	2381909383045868981	0 6 26 30 96 110 126 156 200 230 246 260 326 330 350 356	-65659048686
STPT(10)	2381909835999777437	0 2 54 56 72 74 90 92 144 146	387294859770
STPT(10)	2381909973534650561	0 2 36 38 78 80 120 122 156 158	524829732894
STPT(10)	2381910653626787537	0 2 42 44 72 74 102 104 144 146	1204921869870
STPT(10)	2381910966611647481	0 2 6 8 48 50 90 92 96 98	1517906729814
SPT(16)	2381911322558091463	0 24 28 34 88 118 138 174 214 250 270 300 354 360 364 388	1873853173796