Prime p₀= 1425987595717650239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 64 2 22 2 118 2 94 2 (?)
a_n: 0 2 30 32 72 74 138 140 162 164 282 284 378 380
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: 380
Found by: Theadalus
db: batch=78, k=14, 28 40 64 22 118 94

SPT(16)	1425984870879618877	0 16 22 34 72 76 136 144 202 210 270 274 312 324 330 346	-2724838031362
SPT(16)	1425985651383168769	0 4 18 28 34 40 48 78 130 160 168 174 180 190 204 208	-1944334481470
STPT(10)	1425986096523807491	0 2 30 32 78 80 126 128 156 158	-1499193842748
STPT(10)	1425986185421223869	0 2 42 44 120 122 198 200 240 242	-1410296426370
SPT(16)	1425986257049208241	0 6 30 36 46 60 70 72 76 78 88 102 112 118 142 148	-1338668441998
STPT(10)	1425986273558426351	0 2 30 32 78 80 126 128 156 158	-1322159223888
SPT(16)	1425987678166207591	0 28 58 96 136 142 162 168 220 226 246 252 292 330 360 388	82448557352
STPT(10)	1425987847563551159	0 2 18 20 30 32 42 44 60 62	251845900920
SPT(16)	1425988044420216041	0 32 42 62 102 108 140 146 162 168 200 206 246 266 276 308	448702565802
STPT(10)	1425988167289752431	0 2 78 80 138 140 198 200 276 278	571572102192
STPT(12)	1425988748938112417	0 2 42 44 60 62 84 86 102 104 144 146	1153220462178