Prime p₀= 1049217550206960479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 22 2 16 2 106 2 22 2 (?)
a_n: 0 2 72 74 78 80 102 104 120 122 228 230 252 254
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: 254
Found by: stoneageman
db: batch=76, k=14, 70 4 22 16 106 22

SPT(16)	1049216472321418393	0 4 6 18 24 48 70 88 156 174 196 220 226 238 240 244	-1077885542086
SPT(16)	1049216557660438019	0 54 68 74 90 114 140 144 194 198 224 248 264 270 284 338	-992546522460
STPT(10)	1049216651198572469	0 2 18 20 30 32 42 44 60 62	-899008388010
STPT(10)	1049217095241887459	0 2 18 20 30 32 42 44 60 62	-454965073020
STPT(10)	1049217428142105161	0 2 30 32 60 62 90 92 120 122	-122064855318
SPT(16)	1049217487343125981	0 40 46 52 60 72 126 156 196 226 280 292 300 306 312 352	-62863834498
SPT(16)	1049217565309648409	0 20 38 48 104 110 120 134 138 152 162 168 224 234 252 272	15102687930
SPT(16)	1049217681939443867	0 6 36 50 54 110 116 120 200 204 210 266 270 284 314 320	131732483388
SPT(16)	1049217742171345567	0 16 30 36 72 100 112 126 190 204 216 244 280 286 300 316	191964385088
STPT(10)	1049217749771030027	0 2 24 26 42 44 60 62 84 86	199564069548
SPT(16)	1049217831472358693	0 8 36 48 104 116 140 200 234 294 318 330 386 398 426 434	281265398214