Prime p₀= 825781840598857781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 16 2 130 2 4 2 28 2 (?)
a_n: 0 2 18 20 60 62 78 80 210 212 216 218 246 248
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: 248
Found by: Frank [NT]
db: batch=73, k=14, 16 40 16 130 4 28

SPT(16)	825780311406537881	0 8 18 42 56 60 66 78 80 92 98 102 116 140 150 158	-1529192319900
STPT(10)	825780328538315987	0 2 42 44 72 74 102 104 144 146	-1512060541794
SPT(16)	825780337038986933	0 50 86 104 120 146 170 224 240 294 318 344 360 378 414 464	-1503559870848
SPT(16)	825780518628353291	0 2 26 48 66 68 90 122 156 188 210 212 230 252 276 278	-1321970504490
SPT(16)	825780595744304381	0 2 12 18 30 38 126 210 308 392 480 488 500 506 516 518	-1244854553400
SPT(16)	825780908336762471	0 8 36 92 108 120 140 146 162 168 188 200 216 272 300 308	-932262095310
SPT(16)	825782054584067747	0 6 14 20 80 84 90 122 204 236 242 246 306 312 320 326	213985209966
STPT(10)	825782091261561827	0 2 30 32 42 44 54 56 84 86	250662704046
SPT(16)	825782681525880409	0 4 18 24 52 102 118 130 132 144 160 210 238 244 258 262	840927022628
SPT(13)	825783198849930421	0 18 42 60 102 132 150 168 198 240 258 282 300	1358251072640
TPT(14)	825783649957270721	0 2 6 8 78 80 90 92 168 170 210 212 318 320	1809358412940