Prime p₀= 2768830625019001679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 130 2 28 2 10 2 76 2 (?)
a_n: 0 2 12 14 48 50 180 182 210 212 222 224 300 302
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: 302
Found by: fzs600
db: batch=82, k=14, 10 34 130 28 10 76

STPT(10)	2768828733552422657	0 2 30 32 42 44 54 56 84 86	-1891466579022
SPT(16)	2768829830928282599	0 8 38 60 92 98 122 140 192 210 234 240 272 294 324 332	-794090719080
SPT(16)	2768830355627747309	0 2 42 108 132 150 170 204 218 252 272 290 314 380 420 422	-269391254370
STPT(10)	2768830429480707419	0 2 42 44 60 62 78 80 120 122	-195538294260
SPT(16)	2768830544560911451	0 60 76 82 102 106 112 148 150 186 192 196 216 222 238 298	-80458090228
SPT(16)	2768830616447525653	0 18 30 36 60 64 70 100 114 144 150 154 178 184 196 214	-8571476026
STPT(10)	2768830899528434339	0 2 18 20 30 32 42 44 60 62	274509432660
STPT(10)	2768831481055199237	0 2 12 14 42 44 72 74 84 86	856036197558
SPT(16)	2768831543853613549	0 34 54 64 72 82 84 112 120 148 150 160 168 178 198 232	918834611870
SPT(16)	2768831782751428487	0 42 44 56 86 90 164 176 240 252 326 330 360 372 374 416	1157732426808
STPT(10)	2768832923630492177	0 2 30 32 42 44 54 56 84 86	2298611490498