Prime p₀= 2384287978764521939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 4 2 118 2 28 2 28 2 (?)
a_n: 0 2 30 32 42 44 48 50 168 170 198 200 228 230
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: 230
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 28 10 4 118 28 28

STPT(10)	2384285841574684667	0 2 42 44 72 74 102 104 144 146	-2137189837272
STPT(10)	2384287057738145381	0 2 6 8 48 50 90 92 96 98	-921026376558
STPT(10)	2384287432710905549	0 2 18 20 60 62 102 104 120 122	-546053616390
SPT(16)	2384287445793660101	0 8 60 102 158 168 182 186 272 276 290 300 356 398 450 458	-532970861838
SPT(16)	2384287536390389387	0 60 62 80 90 132 140 182 192 234 242 284 294 312 314 374	-442374132552
SPT(16)	2384287608724801363	0 30 34 64 78 136 150 184 210 244 258 316 330 360 364 394	-370039720576
TPT(14)	2384288083674359969	0 2 12 14 42 44 78 80 108 110 150 152 168 170	104909838030
STPT(10)	2384288086757806277	0 2 42 44 72 74 102 104 144 146	107993284338
SPT(16)	2384288219954646701	0 56 72 126 128 150 168 180 278 290 308 330 332 386 402 458	241190124762
STPT(10)	2384288527099135169	0 2 42 44 60 62 78 80 120 122	548334613230
STPT(10)	2384288780346862547	0 2 54 56 72 74 90 92 144 146	801582340608