Prime p₀= 2881219082482474691 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 58 2 28 2 10 2 106 2 (?)
a_n: 0 2 60 62 66 68 126 128 156 158 168 170 276 278
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: 278
Found by: [SG-FC] hl
db: batch=82, k=14, 58 4 58 28 10 106

SPT(16)	2881217196403832359	0 24 28 42 54 64 82 90 142 150 168 178 190 204 208 232	-1886078642332
STPT(10)	2881217517419759951	0 2 96 98 168 170 240 242 336 338	-1565062714740
SPT(16)	2881218342414392329	0 24 48 52 94 118 138 220 252 334 354 378 420 424 448 472	-740068082362
SPT(16)	2881218348207238841	0 32 42 68 138 140 152 182 198 228 240 242 312 338 348 380	-734275235850
SPT(16)	2881218466779686609	0 2 8 32 42 60 90 144 188 242 272 290 300 324 330 332	-615702788082
SPT(16)	2881218629467291097	0 14 50 80 84 110 134 140 144 150 174 200 204 234 270 284	-453015183594
SPT(16)	2881219935459293941	0 6 10 16 18 30 76 78 100 102 148 160 162 168 172 178	852976819250
STPT(10)	2881219945527489659	0 2 18 20 30 32 42 44 60 62	863045014968
SPT(16)	2881220708776211033	0 8 50 56 66 108 180 200 246 266 338 380 390 396 438 446	1626293736342
SPT(16)	2881220793901562159	0 48 80 98 104 110 150 164 204 218 258 264 270 288 320 368	1711419087468
STPT(10)	2881220861707458239	0 2 12 14 30 32 48 50 60 62	1779224983548