Prime p₀= 1339820101516818827 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 64 2 28 2 172 2 4 2 160 2 (?)
a_n: 0 2 24 26 90 92 120 122 294 296 300 302 462 464
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: 464
Found by: HenkM
db: batch=77, k=14, 22 64 28 172 4 160

SPT(16)	1339819052040261971	0 8 48 50 62 68 90 92 96 98 120 126 138 140 180 188	-1049476556856
STPT(10)	1339819123311092519	0 2 18 20 30 32 42 44 60 62	-978205726308
SPT(16)	1339819455601831007	0 56 60 66 84 96 146 192 224 270 320 332 350 356 360 416	-645914987820
SPT(16)	1339819470348834911	0 2 8 42 122 132 150 186 272 308 326 336 416 450 456 458	-631167983916
SPT(16)	1339819865854414687	0 40 70 72 84 112 144 150 184 190 222 250 262 264 294 334	-235662404140
SPT(16)	1339819970179719713	0 6 20 38 44 54 60 86 168 194 200 210 216 234 248 254	-131337099114
SPT(16)	1339820449144441963	0 58 70 88 138 166 180 196 240 256 270 298 348 366 378 436	347627623136
SPT(16)	1339820571183290257	0 6 22 36 46 54 112 120 136 144 202 210 220 234 250 256	469666471430
TPT(14)	1339820644615781969	0 2 18 20 102 104 132 134 300 302 348 350 390 392	543098963142
SPT(16)	1339820887931811437	0 12 14 60 80 122 164 206 210 252 294 336 356 402 404 416	786414992610
STPT(10)	1339821527440770947	0 2 24 26 42 44 60 62 84 86	1425923952120