Prime p₀= 1956455736186878879 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 28 2 28 2 148 2 28 2 (?)
a_n: 0 2 30 32 108 110 138 140 168 170 318 320 348 350
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: arkiss
db: batch=80, k=14, 28 76 28 28 148 28

TPT(14)	1956454763197842989	0 2 30 32 42 44 72 74 102 104 132 134 180 182	-972989035890
STPT(10)	1956455005797345407	0 2 12 14 72 74 132 134 144 146	-730389533472
SPT(16)	1956455052638940793	0 4 18 64 84 88 108 118 120 130 150 154 174 220 234 238	-683547938086
STPT(10)	1956455294107414559	0 2 18 20 30 32 42 44 60 62	-442079464320
SPT(16)	1956455699410565611	0 12 16 18 30 48 58 126 172 240 250 268 280 282 286 298	-36776313268
STPT(10)	1956455708188844669	0 2 78 80 120 122 162 164 240 242	-27998034210
SPT(16)	1956455776659055823	0 8 26 54 74 128 144 156 158 170 186 240 260 288 306 314	40472176944
SPT(16)	1956456123493697521	0 10 28 82 148 178 198 208 390 400 420 450 516 570 588 598	387306818642
SPT(16)	1956456140881384469	0 18 20 32 78 90 92 110 132 150 152 164 210 222 224 242	404694505590
SPT(16)	1956456320736411979	0 42 52 64 72 108 114 132 220 238 244 280 288 300 310 352	584549533100
STPT(10)	1956456568542882587	0 2 24 26 42 44 60 62 84 86	832356003708