Prime p₀= 1044811137929383289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 40 2 34 2 40 2 40 2 (?)
a_n: 0 2 78 80 90 92 132 134 168 170 210 212 252 254
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: 254
Found by: stoneageman
db: batch=76, k=14, 76 10 40 34 40 40

SPT(16)	1044808462595871089	0 30 44 78 98 152 162 174 218 230 240 294 314 348 362 392	-2675333512200
SPT(16)	1044808773733410689	0 12 38 48 50 78 132 150 152 170 224 252 254 264 290 302	-2364195972600
SPT(16)	1044808851283530299	0 92 182 198 212 240 248 282 290 324 332 360 374 390 480 572	-2286645852990
SPT(16)	1044808941382337429	0 30 44 62 72 140 158 180 272 294 312 380 390 408 422 452	-2196547045860
TPT(14)	1044810327780863027	0 2 24 26 42 44 102 104 114 116 150 152 192 194	-810148520262
SPT(16)	1044810773192865013	0 24 46 60 70 166 184 186 208 210 228 324 334 348 370 394	-364736518276
TPT(14)	1044811364236741397	0 2 72 74 114 116 132 134 162 164 240 242 462 464	226307358108
SPT(18)	1044811466751000649	0 84 100 108 120 130 142 154 240 262 348 360 372 382 394 402 418 502	328821617360
SPT(16)	1044811613615211527	0 26 30 56 140 164 290 302 324 336 462 486 570 596 600 626	475685828238
SPT(16)	1044811810400887409	0 12 38 44 60 74 90 102 110 122 138 152 168 174 200 212	672471504120
SPT(16)	1044812170715542781	0 12 48 62 66 68 96 122 216 242 270 272 276 290 326 338	1032786159492