Prime p₀= 751911138345608741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 214 2 70 2 10 2 268 2 58 2 4 2 (?)
a_n: 0 2 216 218 288 290 300 302 570 572 630 632 636 638
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: 638
Found by: Theadalus
db: batch=73, k=14, 214 70 10 268 58 4

SPT(16)	751909166828925167	0 30 72 80 132 170 182 192 272 282 294 332 384 392 434 464	-1971516683574
STPT(10)	751909259684874119	0 2 12 14 90 92 168 170 180 182	-1878660734622
STPT(10)	751909648609615031	0 2 6 8 48 50 90 92 96 98	-1489735993710
STPT(10)	751910716786759589	0 2 12 14 90 92 168 170 180 182	-421558849152
STPT(10)	751910773744151009	0 2 18 20 30 32 42 44 60 62	-364601457732
SPT(16)	751910799643067089	0 48 78 90 124 130 142 168 244 270 282 288 322 334 364 412	-338702541652
STPT(10)	751911407911421237	0 2 30 32 42 44 54 56 84 86	269565812496
TPT(14)	751911499396142219	0 2 12 14 78 80 138 140 162 164 180 182 210 212	361050533478
STPT(10)	751911509599244087	0 2 30 32 60 62 90 92 120 122	371253635346
SPT(16)	751911653612944063	0 18 30 88 94 120 130 156 178 204 214 240 246 304 316 334	515267335322
SPT(16)	751911836584038881	0 2 6 48 56 72 78 90 158 170 176 192 200 242 246 248	698238430140