Prime p₀= 2464420547391724217 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 10 2 58 2 28 2 64 2 (?)
a_n: 0 2 72 74 102 104 114 116 174 176 204 206 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 70 28 10 58 28 64

STPT(10)	2464419300976769177	0 2 30 32 42 44 54 56 84 86	-1246414955040
SPT(16)	2464419346127965157	0 24 60 66 74 84 140 150 170 180 236 246 254 260 296 320	-1201263759060
SPT(16)	2464419522267430433	0 38 44 56 66 68 84 110 144 170 186 188 198 210 216 254	-1025124293784
SPT(16)	2464419965211632243	0 14 18 36 50 128 140 158 186 204 216 294 308 326 330 344	-582180091974
STPT(10)	2464420193588478401	0 2 90 92 150 152 210 212 300 302	-353803245816
SPT(16)	2464420447105201279	0 70 78 100 120 148 162 168 184 190 204 232 252 274 282 352	-100286522938
TPT(14)	2464420716377636831	0 2 36 38 48 50 66 68 90 92 150 152 168 170	168985912614
STPT(10)	2464420725183467597	0 2 30 32 42 44 54 56 84 86	177791743380
SPT(16)	2464420911813797359	0 12 30 52 108 112 120 190 282 352 360 364 420 442 460 472	364422073142
STPT(10)	2464421189677875497	0 2 24 26 42 44 60 62 84 86	642286151280
SPT(16)	2464421203340077703	0 44 66 78 80 134 150 170 234 254 270 324 326 338 360 404	655948353486