Prime p₀= 3010643419893491741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 88 2 40 2 46 2 22 2 124 2 (?)
a_n: 0 2 36 38 126 128 168 170 216 218 240 242 366 368
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: 368
Found by: [SG-FC] hl
db: batch=82, k=14, 34 88 40 46 22 124

SPT(16)	3010642601714401207	0 16 36 54 60 66 114 154 222 262 310 316 322 340 360 376	-818179090534
SPT(16)	3010642795155512731	0 16 42 48 100 118 130 132 166 168 180 198 250 256 282 298	-624737979010
SPT(16)	3010642896716554663	0 78 84 114 154 180 226 286 288 348 394 420 460 490 496 574	-523176937078
STPT(10)	3010642946129672039	0 2 18 20 30 32 42 44 60 62	-473763819702
SPT(16)	3010642974975619097	0 14 50 114 134 144 156 186 200 230 242 252 272 336 372 386	-444917872644
SPT(16)	3010643083709408863	0 24 36 46 60 70 114 126 178 190 234 244 258 268 280 304	-336184082878
SPT(16)	3010643594300297783	0 14 78 84 120 168 170 240 254 324 326 374 410 416 480 494	174406806042
SPT(16)	3010643680630179599	0 54 78 98 110 168 272 284 288 300 404 462 474 494 518 572	260736687858
STPT(10)	3010643707878443639	0 2 30 32 60 62 90 92 120 122	287984951898
SPT(16)	3010643715578317099	0 4 10 54 130 180 210 220 228 238 268 318 394 438 444 448	295684825358
SPT(16)	3010644004103213557	0 6 22 30 66 72 126 184 252 310 364 370 406 414 430 436	584209721816