Prime p₀= 2082558656898058019 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 64 2 58 2 28 2 70 2 (?)
a_n: 0 2 42 44 102 104 168 170 228 230 258 260 330 332
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: 332
Found by: Landjunge
db: batch=80, k=14, 40 58 64 58 28 70

STPT(10)	2082557031231889337	0 2 30 32 72 74 114 116 144 146	-1625666168682
STPT(10)	2082557142115709429	0 2 18 20 60 62 102 104 120 122	-1514782348590
STPT(10)	2082557284421681189	0 2 48 50 90 92 132 134 180 182	-1372476376830
STPT(10)	2082558101127494057	0 2 12 14 42 44 72 74 84 86	-555770563962
SPT(16)	2082558503123401481	0 26 48 72 80 120 146 182 246 282 308 348 356 380 402 428	-153774656538
SPT(16)	2082558539608476749	0 14 24 32 42 50 92 150 212 270 312 320 330 338 348 362	-117289581270
STPT(10)	2082558788075667269	0 2 18 20 30 32 42 44 60 62	131177609250
STPT(10)	2082559425566784557	0 2 30 32 42 44 54 56 84 86	768668726538
SPT(16)	2082559653835215371	0 12 26 32 36 90 102 152 216 266 278 332 336 342 356 368	996937157352
SPT(16)	2082559717110620717	0 6 12 14 32 54 56 72 74 90 92 114 132 134 140 146	1060212562698
STPT(10)	2082559734354369239	0 2 12 14 30 32 48 50 60 62	1077456311220