Prime p₀= 2707828578332981489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 124 2 10 2 40 2 196 2 10 2 (?)
a_n: 0 2 12 14 138 140 150 152 192 194 390 392 402 404
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: 404
Found by: JayPi
db: batch=82, k=14, 10 124 10 40 196 10

STPT(10)	2707827450791322941	0 2 6 8 48 50 90 92 96 98	-1127541658548
SPT(16)	2707827699397027709	0 20 60 84 108 120 134 164 204 234 248 260 284 308 348 368	-878935953780
SPT(16)	2707827708721446121	0 16 40 48 76 90 100 132 166 198 208 222 250 258 282 298	-869611535368
SPT(16)	2707827880047008867	0 12 24 44 74 80 92 102 134 144 156 162 192 212 224 236	-698285972622
SPT(16)	2707828466847912631	0 48 72 88 108 130 136 160 318 342 348 370 390 406 430 478	-111485068858
SPT(16)	2707828561128587753	0 30 50 86 110 126 140 168 176 204 218 234 258 294 314 344	-17204393736
SPT(16)	2707828668657510899	0 42 50 54 74 78 114 134 138 158 194 198 218 222 230 272	90324529410
STPT(10)	2707828818467974037	0 2 42 44 72 74 102 104 144 146	240134992548
STPT(10)	2707829445539481017	0 2 30 32 42 44 54 56 84 86	867206499528
STPT(10)	2707829482229337371	0 2 96 98 138 140 180 182 276 278	903896355882
SPT(16)	2707829612172451141	0 16 70 72 88 100 112 162 166 216 228 240 256 258 312 328	1033839469652