Prime p₀= 1425859728739788737 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 40 2 88 2 34 2 58 2 40 2 (?)
a_n: 0 2 132 134 174 176 264 266 300 302 360 362 402 404
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: 404
Found by: Theadalus
db: batch=78, k=14, 130 40 88 34 58 40

TPT(14)	1425858808432334429	0 2 60 62 102 104 138 140 150 152 168 170 180 182	-920307454308
SPT(16)	1425858907736875637	0 54 72 90 110 120 146 152 204 210 236 246 266 284 302 356	-821002913100
SPT(16)	1425859214969252771	0 12 42 56 66 80 108 126 152 170 198 212 222 236 266 278	-513770535966
SPT(16)	1425859272734592853	0 10 28 48 100 120 150 204 274 328 358 378 430 450 468 478	-456005195884
SPT(16)	1425859283444114117	0 2 44 54 74 84 126 144 152 170 212 222 242 252 294 296	-445295674620
SPT(16)	1425859350549359771	0 12 56 80 86 108 122 132 146 156 170 192 198 222 266 278	-378190428966
SPT(16)	1425859745234286361	0 10 18 28 46 58 70 96 130 156 168 180 198 208 216 226	16494497624
STPT(10)	1425860234693394527	0 2 24 26 42 44 60 62 84 86	505953605790
SPT(16)	1425860634680158213	0 36 40 94 150 160 186 210 214 238 264 274 330 384 388 424	905940369476
STPT(10)	1425860767263840251	0 2 36 38 78 80 120 122 156 158	1038524051514
STPT(10)	1425861022621776449	0 2 42 44 60 62 78 80 120 122	1293881987712