Prime p₀= 1051378790637025397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 22 2 148 2 46 2 10 2 (?)
a_n: 0 2 24 26 30 32 54 56 204 206 252 254 264 266
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: 266
Found by: Theadalus
db: batch=76, k=14, 22 4 22 148 46 10

SPT(16)	1051377595495769687	0 14 32 62 74 84 90 132 134 176 182 192 204 234 252 266	-1195141255710
SPT(16)	1051377968521174267	0 10 30 52 142 150 166 172 234 240 256 264 354 376 396 406	-822115851130
STPT(10)	1051378030834691039	0 2 18 20 30 32 42 44 60 62	-759802334358
STPT(10)	1051378419605033489	0 2 12 14 30 32 48 50 60 62	-371031991908
STPT(10)	1051378479512544437	0 2 42 44 72 74 102 104 144 146	-311124480960
STPT(10)	1051378746802151219	0 2 48 50 90 92 132 134 180 182	-43834874178
SPT(16)	1051378807684724809	0 28 30 34 78 120 132 142 210 220 232 274 318 322 324 352	17047699412
SPT(16)	1051378814123635513	0 6 46 136 208 220 234 256 258 280 294 306 378 468 508 514	23486610116
STPT(10)	1051378982350901759	0 2 78 80 120 122 162 164 240 242	191713876362
STPT(10)	1051379159018623187	0 2 30 32 42 44 54 56 84 86	368381597790
SPT(16)	1051379230323879617	0 14 62 86 102 122 186 222 284 320 384 404 420 444 492 506	439686854220