Prime p₀= 2117099149799460857 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 28 2 28 2 10 2 (?)
a_n: 0 2 30 32 42 44 60 62 90 92 120 122 132 134
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: 134
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 28 10 16 28 28 10

STPT(10)	2117097742887176837	0 2 12 14 72 74 132 134 144 146	-1406912284020
SPT(16)	2117097749063977601	0 6 8 18 50 56 62 78 80 96 102 108 140 150 152 158	-1400735483256
SPT(16)	2117098373812115347	0 64 66 90 106 120 124 132 154 162 166 180 196 220 222 286	-775987345510
SPT(16)	2117098553240166677	0 32 54 56 74 84 96 102 104 110 122 132 150 152 174 206	-596559294180
TPT(14)	2117098584577642361	0 2 36 38 66 68 78 80 210 212 288 290 300 302	-565221818496
SPT(16)	2117099004804092599	0 30 72 78 90 118 120 132 148 160 162 190 202 208 250 280	-144995368258
STPT(10)	2117099231382204647	0 2 30 32 42 44 54 56 84 86	81582743790
STPT(10)	2117099237128019621	0 2 36 38 78 80 120 122 156 158	87328558764
STPT(10)	2117099736583443707	0 2 30 32 42 44 54 56 84 86	586783982850
TPT(14)	2117099758968732149	0 2 78 80 120 122 138 140 162 164 210 212 252 254	609169271292
STPT(10)	2117099785234480139	0 2 30 32 60 62 90 92 120 122	635435019282