Prime p₀= 1025706519764384741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 190 2 16 2 22 2 88 2 4 2 (?)
a_n: 0 2 96 98 288 290 306 308 330 332 420 422 426 428
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: 428
Found by: stoneageman
db: batch=76, k=14, 94 190 16 22 88 4

SPT(16)	1025705336618340173	0 78 110 134 144 174 180 236 258 314 320 350 360 384 416 494	-1183146044568
SPT(16)	1025705427069864391	0 6 36 120 166 300 336 352 390 406 442 576 622 706 736 742	-1092694520350
SPT(16)	1025705461552316947	0 36 54 90 166 180 220 232 264 276 316 330 406 442 460 496	-1058212067794
STPT(12)	1025705499339233981	0 2 78 80 90 92 156 158 168 170 246 248	-1020425150760
TPT(14)	1025705595840621677	0 2 42 44 60 62 102 104 120 122 144 146 210 212	-923923763064
SPT(16)	1025706072771270161	0 38 42 78 162 182 258 278 300 320 396 416 500 536 540 578	-446993114580
STPT(10)	1025706525967583459	0 2 18 20 30 32 42 44 60 62	6203198718
STPT(10)	1025706662605843157	0 2 30 32 60 62 90 92 120 122	142841458416
STPT(10)	1025707205453889767	0 2 30 32 42 44 54 56 84 86	685689505026
STPT(10)	1025707748524576217	0 2 60 62 72 74 84 86 144 146	1228760191476
SPT(16)	1025707781218344899	0 12 50 54 72 80 110 182 192 264 294 302 320 324 362 374	1261453960158