Prime p₀= 2017321524501003167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 28 2 46 2 130 2 40 2 (?)
a_n: 0 2 30 32 72 74 102 104 150 152 282 284 324 326
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: 326
Found by: ChUcK
db: batch=80, k=14, 28 40 28 46 130 40

SPT(20)	2017319937913825943	0 26 54 56 66 80 116 150 156 170 210 224 230 264 300 314 324 326 354 380	-1586587177224
STPT(10)	2017320017518481231	0 2 6 8 48 50 90 92 96 98	-1506982521936
STPT(10)	2017320359034427199	0 2 18 20 30 32 42 44 60 62	-1165466575968
SPT(16)	2017320495736089787	0 12 34 40 66 94 106 124 132 150 162 190 216 222 244 256	-1028764913380
STPT(10)	2017320875449754417	0 2 54 56 132 134 210 212 264 266	-649051248750
SPT(16)	2017321439309531489	0 14 24 32 54 60 80 84 110 114 134 140 162 170 180 194	-85191471678
STPT(10)	2017321631802471647	0 2 42 44 72 74 102 104 144 146	107301468480
STPT(10)	2017321807154813189	0 2 18 20 30 32 42 44 60 62	282653810022
STPT(10)	2017322008232794997	0 2 30 32 42 44 54 56 84 86	483731791830
STPT(10)	2017322552580795671	0 2 30 32 78 80 126 128 156 158	1028079792504
STPT(10)	2017322777270673137	0 2 42 44 72 74 102 104 144 146	1252769669970