Prime p₀= 2829425565615545339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 82 2 76 2 28 2 10 2 28 2 (?)
a_n: 0 2 48 50 132 134 210 212 240 242 252 254 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 46 82 76 28 10 28

SPT(16)	2829423878397016207	0 40 42 124 150 160 172 180 214 222 234 244 270 352 354 394	-1687218529132
STPT(10)	2829423922337995847	0 2 42 44 72 74 102 104 144 146	-1643277549492
TPT(14)	2829424268335475351	0 2 36 38 48 50 228 230 336 338 366 368 450 452	-1297280069988
STPT(10)	2829424789549032047	0 2 90 92 102 104 114 116 204 206	-776066513292
SPT(16)	2829425171069626529	0 24 114 138 180 228 234 270 332 368 374 422 464 488 578 602	-394545918810
SPT(16)	2829425296230549223	0 18 28 30 64 70 114 120 148 154 198 204 238 240 250 268	-269384996116
SPT(16)	2829425588537690881	0 6 12 18 30 76 90 126 172 208 222 268 280 286 292 298	22922145542
TPT(14)	2829426052701128819	0 2 42 44 78 80 108 110 162 164 180 182 210 212	487085583480
TPT(14)	2829426929019698981	0 2 30 32 78 80 180 182 210 212 276 278 318 320	1363404153642
SPT(16)	2829426930849129733	0 28 30 78 90 154 226 244 330 348 420 484 496 544 546 574	1365233584394
SPT(16)	2829427002032199169	0 12 28 40 72 90 154 184 198 228 292 310 342 354 370 382	1436416653830