Prime p₀= 2628966626059896179 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 88 2 10 2 10 2 4 2 (?)
a_n: 0 2 30 32 78 80 168 170 180 182 192 194 198 200
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: 200
Found by: raddoc
db: batch=82, k=14, 28 46 88 10 10 4

SPT(16)	2628966097495798759	0 12 28 34 40 84 118 142 360 384 418 462 468 474 490 502	-528564097420
SPT(16)	2628966121321876747	0 12 66 112 126 136 144 154 192 202 210 220 234 280 334 346	-504738019432
TPT(14)	2628966311023964909	0 2 90 92 138 140 258 260 270 272 348 350 420 422	-315035931270
SPT(16)	2628966386255054161	0 18 28 42 60 82 88 96 172 180 186 208 226 240 250 268	-239804842018
SPT(16)	2628966576936398879	0 14 38 42 50 60 74 108 134 168 182 192 200 204 228 242	-49123497300
SPT(16)	2628966616759244497	0 30 36 42 46 72 106 142 150 186 220 246 250 256 262 292	-9300651682
STPT(10)	2628967419006386147	0 2 30 32 42 44 54 56 84 86	792946489968
STPT(12)	2628967439463492131	0 2 30 32 90 92 96 98 156 158 186 188	813403595952
SPT(16)	2628967974877811243	0 6 8 78 120 134 174 228 266 320 360 374 416 486 488 494	1348817915064
STPT(10)	2628968585880455627	0 2 84 86 132 134 180 182 264 266	1959820559448
SPT(16)	2628968603671227073	0 34 40 46 70 100 114 174 196 256 270 300 324 330 336 370	1977611330894