Prime p₀= 2678318768372166287 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 28 2 40 2 88 2 16 2 (?)
a_n: 0 2 30 32 60 62 90 92 132 134 222 224 240 242
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: Asgard2022
db: batch=82, k=14, 28 28 28 40 88 16

SPT(16)	2678316964092475259	0 32 110 170 192 212 270 302 312 344 402 422 444 504 582 614	-1804279691028
SPT(16)	2678317053827035253	0 14 20 26 84 210 216 260 300 344 350 476 534 540 546 560	-1714545131034
SPT(16)	2678317204390442201	0 26 48 68 90 96 122 138 140 156 182 188 210 230 252 278	-1563981724086
SPT(16)	2678318086504859419	0 10 48 52 82 118 144 162 220 238 264 300 330 334 372 382	-681867306868
SPT(16)	2678318228684413373	0 60 66 144 158 168 200 216 218 234 266 276 290 368 374 434	-539687752914
STPT(10)	2678318455186354439	0 2 18 20 30 32 42 44 60 62	-313185811848
SPT(16)	2678318772364080577	0 6 46 70 84 174 180 186 190 196 202 292 306 330 370 376	3991914290
SPT(16)	2678318785832959531	0 10 40 52 58 78 82 118 240 276 280 300 306 318 348 358	17460793244
STPT(10)	2678318832122878337	0 2 30 32 42 44 54 56 84 86	63750712050
TPT(14)	2678318966099050661	0 2 48 50 78 80 126 128 156 158 168 170 210 212	197726884374
STPT(10)	2678318990288253617	0 2 30 32 42 44 54 56 84 86	221916087330