Prime p₀= 1425003723346445687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 106 2 40 2 46 2 52 2 28 2 (?)
a_n: 0 2 102 104 210 212 252 254 300 302 354 356 384 386
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: 386
Found by: Theadalus
db: batch=78, k=14, 100 106 40 46 52 28

STPT(10)	1425001915667265137	0 2 42 44 72 74 102 104 144 146	-1807679180550
SPT(16)	1425001988696781139	0 22 54 58 82 88 120 130 162 172 204 210 234 238 270 292	-1734649664548
SPT(16)	1425002279563835519	0 30 60 78 98 138 140 150 170 180 182 222 242 260 290 320	-1443782610168
SPT(16)	1425002462871679229	0 2 30 48 132 150 152 170 252 270 272 290 374 392 420 422	-1260474766458
SPT(16)	1425003615247453243	0 18 60 78 90 106 148 156 160 168 210 226 238 256 298 316	-108098992444
STPT(10)	1425003699129008039	0 2 18 20 30 32 42 44 60 62	-24217437648
SPT(16)	1425003870734968939	0 4 24 30 34 88 100 108 154 162 174 228 232 238 258 262	147388523252
STPT(10)	1425003908723809121	0 2 36 38 78 80 120 122 156 158	185377363434
SPT(16)	1425004262229867853	0 4 34 94 144 150 178 184 204 210 238 244 294 354 384 388	538883422166
STPT(10)	1425004269234925409	0 2 30 32 60 62 90 92 120 122	545888479722
SPT(16)	1425004488004680263	0 80 134 158 204 218 270 288 290 308 360 374 420 444 498 578	764658234576