Prime p₀= 3010838819854065269 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 64 2 100 2 10 2 16 2 (?)
a_n: 0 2 12 14 42 44 108 110 210 212 222 224 240 242
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: 242
Found by: JayPi
db: batch=82, k=14, 10 28 64 100 10 16

TPT(14)	3010836824198975459	0 2 30 32 162 164 270 272 330 332 372 374 408 410	-1995655089810
STPT(10)	3010837534752423911	0 2 78 80 108 110 138 140 216 218	-1285101641358
SPT(16)	3010838229168238613	0 6 30 44 74 126 134 138 176 180 188 240 270 284 308 314	-590685826656
SPT(16)	3010838331403306697	0 72 140 144 146 212 264 306 440 482 534 600 602 606 674 746	-488450758572
TPT(14)	3010838349660794831	0 2 6 8 36 38 66 68 90 92 96 98 120 122	-470193270438
STPT(10)	3010838683474775999	0 2 18 20 30 32 42 44 60 62	-136379289270
STPT(12)	3010839338472629537	0 2 12 14 24 26 30 32 42 44 54 56	518618564268
SPT(16)	3010839508918094317	0 46 70 132 150 190 210 256 300 346 366 406 424 486 510 556	689064029048
SPT(16)	3010839828876014621	0 6 38 56 62 78 90 92 96 98 110 126 132 150 182 188	1009021949352
STPT(10)	3010840101413651987	0 2 30 32 42 44 54 56 84 86	1281559586718
SPT(16)	3010841329063176703	0 48 54 78 96 118 124 136 138 150 156 178 196 220 226 274	2509209111434