Prime p₀= 2384278769897485841 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 106 2 10 2 16 2 10 2 (?)
a_n: 0 2 48 50 90 92 198 200 210 212 228 230 240 242
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: 242
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 46 40 106 10 16 10

SPT(16)	2384276794351713721	0 28 88 108 118 172 180 202 228 250 258 312 322 342 402 430	-1975545772120
STPT(10)	2384276861356480859	0 2 18 20 30 32 42 44 60 62	-1908541004982
SPT(16)	2384277959812094039	0 38 42 72 122 144 162 212 240 290 308 330 380 410 414 452	-810085391802
TPT(14)	2384278298160511847	0 2 42 44 120 122 132 134 174 176 222 224 252 254	-471736973994
SPT(16)	2384278355242347103	0 46 106 114 124 138 154 166 168 180 196 210 220 228 288 334	-414655138738
SPT(16)	2384278522328567149	0 10 18 28 82 88 112 130 132 150 174 180 234 244 252 262	-247568918692
STPT(10)	2384278916059320989	0 2 18 20 60 62 102 104 120 122	146161835148
SPT(16)	2384278952822508481	0 48 76 90 108 136 150 178 210 238 252 280 298 312 340 388	182925022640
STPT(10)	2384279022199042061	0 2 30 32 60 62 90 92 120 122	252301556220
SPT(16)	2384279515981811233	0 4 24 60 66 90 144 148 216 220 274 298 304 340 360 364	746084325392
SPT(16)	2384279765626945997	0 20 24 114 122 180 192 240 266 314 326 384 392 482 486 506	995729460156