Prime p₀= 4643821493026121969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 124 2 82 2 28 2 4 2 58 2 (?)
a_n: 0 2 12 14 138 140 222 224 252 254 258 260 318 320
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: 320
Found by: arkiss
db: batch=85, k=14, 10 124 82 28 4 58

SPT(16)	4643820337503108557	0 60 96 102 126 134 174 222 224 272 312 320 344 350 386 446	-1155523013412
SPT(22)	4643820406163331623	0 6 60 110 128 180 194 198 236 240 314 360 434 438 476 480 494 546 564 614 668 674	-1086862790346
SPT(16)	4643820481865201869	0 12 24 42 58 78 88 94 198 204 214 234 250 268 280 292	-1011160920100
STPT(10)	4643820563231681729	0 2 18 20 30 32 42 44 60 62	-929794440240
SPT(16)	4643820674678348201	0 12 20 56 90 122 146 150 152 156 180 212 246 282 290 302	-818347773768
SPT(16)	4643821374979893863	0 8 14 26 30 60 116 126 128 138 194 224 228 240 246 254	-118046228106
SPT(16)	4643821503841663841	0 8 62 90 92 102 140 158 162 180 218 228 230 258 312 320	10815541872
SPT(16)	4643821728923971639	0 34 42 48 52 84 90 112 300 322 328 360 364 370 378 412	235897849670
STPT(10)	4643822587839684659	0 2 12 14 90 92 168 170 180 182	1094813562690
STPT(10)	4643822697921521381	0 2 36 38 78 80 120 122 156 158	1204895399412
STPT(10)	4643823059201299817	0 2 30 32 42 44 54 56 84 86	1566175177848