Prime p₀= 1084953296100295931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 40 2 58 2 46 2 16 2 40 2 (?)
a_n: 0 2 138 140 180 182 240 242 288 290 306 308 348 350
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: 350
Found by: Theadalus
db: batch=76, k=14, 136 40 58 46 16 40

TPT(14)	1084952454196917671	0 2 66 68 78 80 138 140 156 158 330 332 378 380	-841903378260
SPT(16)	1084952530332354169	0 24 30 84 100 120 124 150 154 180 184 204 220 274 280 304	-765767941762
STPT(10)	1084952720560712189	0 2 18 20 30 32 42 44 60 62	-575539583742
SPT(16)	1084952900509376377	0 10 12 30 40 70 124 142 162 180 234 264 274 292 294 304	-395590919554
STPT(10)	1084953134208042257	0 2 54 56 72 74 90 92 144 146	-161892253674
STPT(10)	1084953169802870867	0 2 30 32 72 74 114 116 144 146	-126297425064
SPT(16)	1084953394713220607	0 12 14 54 56 66 102 116 120 134 170 180 182 222 224 236	98612924676
TPT(14)	1084953563731357277	0 2 12 14 24 26 42 44 72 74 144 146 324 326	267631061346
SPT(16)	1084953565685571079	0 28 40 78 102 112 120 138 154 172 180 190 214 252 264 292	269585275148
STPT(10)	1084953667816057679	0 2 12 14 90 92 168 170 180 182	371715761748
STPT(10)	1084953726330889697	0 2 60 62 72 74 84 86 144 146	430230593766