Prime p₀= 1180501074824526599 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 10 2 28 2 28 2 106 2 (?)
a_n: 0 2 42 44 60 62 72 74 102 104 132 134 240 242
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: 242
Found by: Paul
db: batch=77, k=14, 40 16 10 28 28 106

SPT(16)	1180497609197790509	0 2 42 48 72 90 132 204 218 290 332 350 374 380 420 422	-3465626736090
STPT(10)	1180497739151719991	0 2 36 38 78 80 120 122 156 158	-3335672806608
SPT(16)	1180499709614925197	0 54 72 116 176 186 194 222 224 252 260 270 330 374 392 446	-1365209601402
STPT(10)	1180499806496460389	0 2 42 44 60 62 78 80 120 122	-1268328066210
SPT(16)	1180500251458989169	0 10 34 60 78 90 130 168 220 258 298 310 328 354 378 388	-823365537430
SPT(20)	1180500444678843551	0 2 20 32 42 48 120 162 228 230 240 242 308 350 422 428 438 450 468 470	-630145683048
STPT(10)	1180501090067924921	0 2 6 8 18 20 30 32 36 38	15243398322
STPT(10)	1180501354815056957	0 2 42 44 72 74 102 104 144 146	279990530358
STPT(10)	1180501794404053577	0 2 30 32 42 44 54 56 84 86	719579526978
STPT(10)	1180501938104472461	0 2 30 32 78 80 126 128 156 158	863279945862
TPT(14)	1180502572389733907	0 2 54 56 150 152 210 212 222 224 240 242 252 254	1497565207308