Prime p₀= 2913647424021283967 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 10 2 28 2 4 2 130 2 (?)
a_n: 0 2 24 26 42 44 54 56 84 86 90 92 222 224
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: 224
Found by: Orange Kid
db: batch=82, k=14, 22 16 10 28 4 130

SPT(16)	2913646157696983211	0 26 32 62 66 96 128 140 198 210 242 272 276 306 312 338	-1266324300756
TPT(14)	2913646216303431611	0 2 6 8 30 32 36 38 78 80 90 92 156 158	-1207717852356
SPT(16)	2913646366366832477	0 20 42 56 80 104 132 134 162 164 192 216 240 254 276 296	-1057654451490
SPT(16)	2913646551110002541	0 18 72 86 98 116 140 182 186 228 252 270 282 296 350 368	-872911281426
STPT(10)	2913646910247843557	0 2 60 62 72 74 84 86 144 146	-513773440410
STPT(10)	2913647097393401399	0 2 18 20 30 32 42 44 60 62	-326627882568
STPT(10)	2913647530157174687	0 2 30 32 60 62 90 92 120 122	106135890720
STPT(10)	2913647671467655019	0 2 42 44 60 62 78 80 120 122	247446371052
SPT(16)	2913647832939145807	0 36 82 102 112 130 162 214 222 274 306 324 334 354 400 436	408917861840
STPT(10)	2913648799003093607	0 2 30 32 42 44 54 56 84 86	1374981809640
STPT(10)	2913649087915215047	0 2 30 32 72 74 114 116 144 146	1663893931080