Prime p₀= 1013395515997910777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 28 2 28 2 28 2 4 2 (?)
a_n: 0 2 54 56 84 86 114 116 144 146 174 176 180 182
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: 182
Found by: HenkM
db: batch=76, k=14, 52 28 28 28 28 4

TPT(14)	1013393763870962387	0 2 12 14 102 104 132 134 174 176 180 182 222 224	-1752126948390
SPT(16)	1013394107370118709	0 32 44 72 78 102 174 198 284 308 380 404 410 438 450 482	-1408627792068
SPT(16)	1013394356794262837	0 32 60 66 132 210 212 240 242 270 272 350 416 422 450 482	-1159203647940
STPT(10)	1013394919971036269	0 2 18 20 30 32 42 44 60 62	-596026874508
SPT(16)	1013394935357847979	0 28 30 40 72 82 132 184 198 250 300 310 342 352 354 382	-580640062798
STPT(10)	1013395079810611409	0 2 18 20 30 32 42 44 60 62	-436187299368
STPT(10)	1013395515997910831	0 2 30 32 60 62 90 92 120 122	54
SPT(16)	1013395548163169923	0 70 90 96 118 124 138 160 294 316 330 336 358 364 384 454	32165259146
STPT(10)	1013395981237112909	0 2 18 20 60 62 102 104 120 122	465239202132
SPT(16)	1013396010499149611	0 32 36 66 80 116 126 140 168 182 192 228 242 272 276 308	494501238834
STPT(10)	1013396084497447697	0 2 12 14 72 74 132 134 144 146	568499536920