Prime p₀= 2825733110424114719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 178 2 52 2 88 2 88 2 16 2 (?)
a_n: 0 2 138 140 318 320 372 374 462 464 552 554 570 572
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: 572
Found by: conf [MM]
db: batch=82, k=14, 136 178 52 88 88 16

SPT(16)	2825731143601408849	0 22 34 48 78 88 108 130 132 154 174 184 214 228 240 262	-1966822705870
SPT(16)	2825731603088096603	0 14 20 26 60 66 104 108 176 180 218 224 258 264 270 284	-1507336018116
SPT(16)	2825731604690976253	0 18 24 28 30 46 84 94 150 160 198 214 216 220 226 244	-1505733138466
SPT(16)	2825731751139636593	0 14 78 104 144 168 174 246 338 410 416 440 480 506 570 584	-1359284478126
STPT(10)	2825732856448200227	0 2 42 44 72 74 102 104 144 146	-253975914492
STPT(10)	2825733096505672007	0 2 54 56 72 74 90 92 144 146	-13918442712
SPT(16)	2825733373642147343	0 20 116 140 260 270 278 294 320 336 344 354 474 498 594 614	263218032624
STPT(10)	2825733636745947227	0 2 24 26 42 44 60 62 84 86	526321832508
SPT(16)	2825734087653200081	0 36 56 66 98 120 128 150 176 198 206 228 260 270 290 326	977229085362
SPT(16)	2825734275780696727	0 46 52 66 94 102 130 132 154 156 184 192 220 234 240 286	1165356582008
SPT(16)	2825734440022372337	0 26 32 60 134 176 240 242 264 266 330 372 446 474 480 506	1329598257618