Prime p₀= 2168663987754187619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 10 2 34 2 88 2 28 2 (?)
a_n: 0 2 78 80 120 122 132 134 168 170 258 260 288 290
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: 290
Found by: Penguin
db: batch=81, k=14, 76 40 10 34 88 28

STPT(10)	2168661441186934961	0 2 36 38 78 80 120 122 156 158	-2546567252658
STPT(10)	2168661886825086407	0 2 30 32 42 44 54 56 84 86	-2100929101212
SPT(16)	2168662513185559711	0 40 48 78 82 112 138 162 166 190 216 246 250 280 288 328	-1474568627908
STPT(10)	2168662683967560227	0 2 42 44 72 74 102 104 144 146	-1303786627392
TPT(14)	2168663333591295179	0 2 60 62 72 74 90 92 132 134 168 170 378 380	-654162892440
STPT(10)	2168663348299485407	0 2 30 32 42 44 54 56 84 86	-639454702212
SPT(16)	2168664317193971923	0 16 34 40 96 144 160 186 238 264 280 328 384 390 408 424	329439784304
SPT(16)	2168664466087371797	0 12 20 30 86 96 110 114 182 186 200 210 266 276 284 296	478333184178
SPT(16)	2168664487090186493	0 48 78 80 108 144 170 198 260 288 314 350 378 380 410 458	499335998874
STPT(10)	2168664709226561639	0 2 30 32 60 62 90 92 120 122	721472374020
SPT(13)	2168665076973932423	0 24 60 78 84 138 144 150 204 210 228 264 288	1089219744804