Prime p₀= 2179171785160142567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 28 2 82 2 64 2 22 2 (?)
a_n: 0 2 42 44 60 62 90 92 174 176 240 242 264 266
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: 266
Found by: [SG-FC] hl
db: batch=81, k=14, 40 16 28 82 64 22

STPT(10)	2179170750190797029	0 2 18 20 30 32 42 44 60 62	-1034969345538
SPT(16)	2179171255316415421	0 28 42 48 76 118 120 130 168 178 180 222 250 256 270 298	-529843727146
SPT(16)	2179171427347175593	0 28 48 76 114 118 124 126 148 150 156 160 198 226 246 274	-357812966974
STPT(10)	2179171535196158639	0 2 48 50 90 92 132 134 180 182	-249963983928
SPT(16)	2179171750753005523	0 4 34 48 114 120 138 144 184 190 208 214 280 294 324 328	-34407137044
SPT(18)	2179171757855086433	0 38 60 84 150 158 194 228 234 260 266 300 336 344 410 434 456 494	-27305056134
SPT(16)	2179172135079291707	0 32 54 60 62 116 146 180 236 270 300 354 356 362 384 416	349919149140
TPT(14)	2179172189302655399	0 2 72 74 108 110 138 140 150 152 210 212 312 314	404142512832
SPT(16)	2179172241008545733	0 26 66 104 110 126 140 164 240 264 278 294 300 338 378 404	455848403166
SPT(16)	2179172608751121469	0 10 40 48 52 70 78 82 150 154 162 180 184 192 222 232	823590978902
STPT(10)	2179173177835317407	0 2 42 44 72 74 102 104 144 146	1392675174840