Prime p₀= 800134570801295579 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 76 2 10 2 118 2 28 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182 300 302 330 332
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: 332
Found by: marsinph
db: batch=73, k=14, 10 76 76 10 118 28

STPT(12)	800134021884005267	0 2 30 32 54 56 60 62 84 86 114 116	-548917290312
SPT(16)	800134095630339091	0 6 90 102 112 150 166 172 216 222 238 276 286 298 382 388	-475170956488
TPT(14)	800134104756217247	0 2 102 104 144 146 174 176 210 212 252 254 300 302	-466045078332
STPT(10)	800134143061913237	0 2 30 32 42 44 54 56 84 86	-427739382342
STPT(10)	800134271085817709	0 2 18 20 30 32 42 44 60 62	-299715477870
STPT(10)	800134306640952761	0 2 30 32 78 80 126 128 156 158	-264160342818
STPT(10)	800134570801295579	0 2 12 14 90 92 168 170 180 182	0
SPT(16)	800134606444073773	0 34 48 60 108 118 126 196 228 298 306 316 364 376 390 424	35642778194
SPT(16)	800134607574154841	0 32 42 60 62 86 92 98 120 126 132 156 158 176 186 218	36772859262
SPT(16)	800134632527170609	0 4 40 42 54 60 142 180 274 312 394 400 412 414 450 454	61725875030
SPT(16)	800134960809919939	0 10 18 70 72 94 100 144 178 222 228 250 252 304 312 322	390008624360