Prime p₀= 1035053399234862701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 148 2 52 2 58 2 16 2 (?)
a_n: 0 2 66 68 126 128 276 278 330 332 390 392 408 410
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: 410
Found by: stoneageman
db: batch=76, k=14, 64 58 148 52 58 16

SPT(16)	1035052615003460401	0 6 18 22 76 88 90 108 130 148 150 162 216 220 232 238	-784231402300
SPT(16)	1035052654446417011	0 48 96 138 150 168 188 216 290 318 338 356 368 410 458 506	-744788445690
SPT(16)	1035052666824823327	0 52 66 90 130 174 252 256 300 304 382 426 466 490 504 556	-732410039374
TPT(14)	1035052872735216617	0 2 72 74 102 104 120 122 240 242 252 254 300 302	-526499646084
STPT(10)	1035052937729702327	0 2 42 44 72 74 102 104 144 146	-461505160374
SPT(16)	1035053090330608981	0 22 36 42 100 102 112 132 340 360 370 372 430 436 450 472	-308904253720
TPT(14)	1035053630171646821	0 2 36 38 150 152 156 158 168 170 180 182 378 380	230936784120
SPT(18)	1035053643149974099	0 10 28 42 78 108 130 148 190 210 252 270 292 322 358 372 390 400	243915111398
SPT(16)	1035053754477487039	0 12 18 40 42 120 124 142 150 168 172 250 252 274 280 292	355242624338
SPT(16)	1035053852543119777	0 4 96 112 124 156 214 216 250 252 310 342 354 370 462 466	453308257076
STPT(12)	1035053889825553721	0 2 6 8 30 32 156 158 180 182 186 188	490590691020