Prime p₀= 2082476448200912891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 154 2 22 2 106 2 16 2 112 2 64 2 (?)
a_n: 0 2 156 158 180 182 288 290 306 308 420 422 486 488
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: 488
Found by: Landjunge
db: batch=80, k=14, 154 22 106 16 112 64

STPT(10)	2082475455064549841	0 2 6 8 18 20 30 32 36 38	-993136363050
SPT(16)	2082475773660988697	0 6 26 66 80 116 120 162 164 206 210 246 260 300 320 326	-674539924194
STPT(10)	2082475860666412031	0 2 6 8 18 20 30 32 36 38	-587534500860
SPT(16)	2082475896077602247	0 54 60 66 80 126 210 224 276 290 374 420 434 440 446 500	-552123310644
STPT(10)	2082476103389270879	0 2 42 44 90 92 138 140 180 182	-344811642012
TPT(14)	2082476196768631901	0 2 186 188 306 308 378 380 408 410 438 440 486 488	-251432280990
SPT(16)	2082476547006665113	0 6 10 66 84 94 100 124 126 150 156 166 184 240 244 250	98805752222
SPT(16)	2082476593468456453	0 6 10 30 34 36 64 94 126 156 184 186 190 210 214 220	145267543562
STPT(10)	2082476936718862349	0 2 120 122 180 182 240 242 360 362	488517949458
SPT(16)	2082477769955956229	0 42 54 108 128 152 198 264 278 344 390 414 434 488 500 542	1321755043338
SPT(16)	2082478070419956551	0 56 80 150 170 228 242 272 276 306 320 378 398 468 492 548	1622219043660