Prime p₀= 1176008133058397687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 10 2 28 2 34 2 40 2 46 2 (?)
a_n: 0 2 102 104 114 116 144 146 180 182 222 224 270 272
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: 272
Found by: HenkM
db: batch=77, k=14, 100 10 28 34 40 46

TPT(14)	1176004963421204207	0 2 12 14 42 44 90 92 132 134 282 284 300 302	-3169637193480
SPT(16)	1176005081727534203	0 60 66 126 146 194 200 216 278 294 300 348 368 428 434 494	-3051330863484
SPT(16)	1176005215170967303	0 30 114 150 168 204 234 238 246 250 280 316 334 370 454 484	-2917887430384
SPT(16)	1176006343355139731	0 12 18 32 50 56 80 108 110 138 162 168 186 200 206 218	-1789703257956
SPT(16)	1176007614286772609	0 18 20 38 42 44 84 104 108 128 168 170 174 192 194 212	-518771625078
STPT(10)	1176007898111771687	0 2 30 32 42 44 54 56 84 86	-234946626000
STPT(10)	1176008176377844697	0 2 30 32 42 44 54 56 84 86	43319447010
STPT(10)	1176008481997236029	0 2 18 20 30 32 42 44 60 62	348938838342
SPT(16)	1176008590921005697	0 30 34 60 100 130 142 144 202 204 216 246 286 312 316 346	457862608010
SPT(20)	1176008863094634839	0 2 14 32 72 152 168 200 222 230 252 260 282 314 330 410 450 468 480 482	730036237152
SPT(16)	1176008904975596101	0 16 36 42 48 70 72 90 148 166 168 190 196 202 222 238	771917198414