Prime p₀= 1563757991716646237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 70 2 214 2 28 2 58 2 (?)
a_n: 0 2 12 14 42 44 114 116 330 332 360 362 420 422
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: xii5ku
db: batch=78, k=14, 10 28 70 214 28 58

STPT(10)	1563757238603117609	0 2 18 20 30 32 42 44 60 62	-753113528628
SPT(16)	1563757349602001573	0 24 54 120 138 140 164 204 224 264 288 290 308 374 404 428	-642114644664
STPT(10)	1563757357497510317	0 2 72 74 102 104 132 134 204 206	-634219135920
TPT(14)	1563757402906999637	0 2 72 74 120 122 150 152 162 164 240 242 264 266	-588809646600
SPT(16)	1563757580095341947	0 42 50 92 150 162 170 180 266 276 284 296 354 396 404 446	-411621304290
STPT(10)	1563757834613233667	0 2 42 44 72 74 102 104 144 146	-157103412570
TPT(14)	1563758090705690849	0 2 48 50 132 134 138 140 168 170 210 212 228 230	98989044612
SPT(16)	1563758112161950547	0 12 14 30 42 152 182 206 240 264 294 404 416 432 434 446	120445304310
SPT(16)	1563758324308686403	0 24 46 66 120 130 154 190 240 276 300 310 364 384 406 430	332592040166
STPT(12)	1563758389525116599	0 2 12 14 42 44 48 50 78 80 90 92	397808470362
SPT(16)	1563758655360925589	0 44 62 102 200 212 284 308 324 348 420 432 530 570 588 632	663644279352