Prime p₀= 2217279690083912339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 238 2 34 2 58 2 10 2 (?)
a_n: 0 2 30 32 72 74 312 314 348 350 408 410 420 422
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: 422
Found by: Penguin
db: batch=81, k=14, 28 40 238 34 58 10

SPT(16)	2217277915688642117	0 36 42 54 80 110 122 132 224 234 246 276 302 314 320 356	-1774395270222
TPT(14)	2217278064924846797	0 2 12 14 30 32 144 146 234 236 240 242 282 284	-1625159065542
SPT(16)	2217278148232035517	0 46 82 84 210 256 276 282 364 370 390 436 562 564 600 646	-1541851876822
SPT(16)	2217278551599438259	0 48 52 72 78 84 100 168 184 252 268 274 280 300 304 352	-1138484474080
SPT(16)	2217278934424043327	0 14 24 66 90 140 144 162 374 392 396 446 470 512 522 536	-755659869012
STPT(10)	2217279282016373189	0 2 18 20 30 32 42 44 60 62	-408067539150
SPT(16)	2217280498000303937	0 6 14 66 80 104 122 134 192 204 222 246 260 312 320 326	807916391598
SPT(16)	2217280593344902937	0 14 26 36 56 66 146 176 180 210 290 300 320 330 342 356	903260990598
SPT(16)	2217280682369848847	0 14 24 30 36 72 86 96 110 120 134 170 176 182 192 206	992285936508
SPT(18)	2217280739894458379	0 30 74 114 122 140 192 252 282 320 350 410 462 480 488 528 572 602	1049810546040
STPT(10)	2217280779476649659	0 2 12 14 90 92 168 170 180 182	1089392737320