Prime p₀= 2117098584577642361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 130 2 76 2 10 2 (?)
a_n: 0 2 36 38 66 68 78 80 210 212 288 290 300 302
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: 302
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 34 28 10 130 76 10

STPT(10)	2117096519029698119	0 2 42 44 90 92 138 140 180 182	-2065547944242
SPT(18)	2117097417574071719	0 68 72 152 182 198 222 234 332 420 518 530 554 570 600 680 684 752	-1167003570642
STPT(10)	2117097742887176837	0 2 12 14 72 74 132 134 144 146	-841690465524
SPT(16)	2117097749063977601	0 6 8 18 50 56 62 78 80 96 102 108 140 150 152 158	-835513664760
SPT(16)	2117098373812115347	0 64 66 90 106 120 124 132 154 162 166 180 196 220 222 286	-210765527014
SPT(16)	2117098553240166677	0 32 54 56 74 84 96 102 104 110 122 132 150 152 174 206	-31337475684
SPT(16)	2117099004804092599	0 30 72 78 90 118 120 132 148 160 162 190 202 208 250 280	420226450238
TPT(14)	2117099149799460857	0 2 30 32 42 44 60 62 90 92 120 122 132 134	565221818496
STPT(10)	2117099231382204647	0 2 30 32 42 44 54 56 84 86	646804562286
STPT(10)	2117099237128019621	0 2 36 38 78 80 120 122 156 158	652550377260
STPT(10)	2117099736583443707	0 2 30 32 42 44 54 56 84 86	1152005801346