Prime p₀= 2667635666854729607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 136 2 28 2 28 2 28 2 22 2 (?)
a_n: 0 2 12 14 150 152 180 182 210 212 240 242 264 266
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: 266
Found by: fzs600
db: batch=82, k=14, 10 136 28 28 28 22

TPT(14)	2667632664206512001	0 2 30 32 60 62 108 110 138 140 198 200 360 362	-3002648217606
TPT(14)	2667632944419249671	0 2 60 62 138 140 168 170 210 212 258 260 270 272	-2722435479936
STPT(10)	2667633781525905011	0 2 78 80 138 140 198 200 276 278	-1885328824596
STPT(10)	2667634123970147831	0 2 36 38 78 80 120 122 156 158	-1542884581776
SPT(16)	2667634630776540197	0 12 36 42 54 92 126 146 210 230 264 302 314 320 344 356	-1036078189410
STPT(10)	2667635378488914311	0 2 30 32 78 80 126 128 156 158	-288365815296
STPT(10)	2667635961242045639	0 2 18 20 30 32 42 44 60 62	294387316032
SPT(16)	2667636033733016977	0 10 22 46 96 102 112 120 256 264 274 280 330 354 366 376	366878287370
SPT(16)	2667636382736094859	0 4 12 34 42 48 64 78 94 108 124 130 138 160 168 172	715881365252
STPT(10)	2667636725903112251	0 2 36 38 78 80 120 122 156 158	1059048382644
STPT(10)	2667637237341081167	0 2 30 32 42 44 54 56 84 86	1570486351560