Prime p₀= 2596457038903483079 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 16 2 52 2 64 2 10 2 (?)
a_n: 0 2 18 20 60 62 78 80 132 134 198 200 210 212
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: 212
Found by: JayPi
db: batch=82, k=14, 16 40 16 52 64 10

SPT(16)	2596455285003050447	0 6 26 42 44 84 152 162 194 204 272 312 314 330 350 356	-1753900432632
SPT(16)	2596455598558437089	0 18 38 78 80 92 102 108 152 158 168 180 182 222 242 260	-1440345045990
STPT(10)	2596455879287266067	0 2 30 32 42 44 54 56 84 86	-1159616217012
SPT(16)	2596456030019441159	0 38 72 84 104 114 122 128 174 180 188 198 218 230 264 302	-1008884041920
STPT(10)	2596456899712871537	0 2 24 26 42 44 60 62 84 86	-139190611542
SPT(16)	2596456984792522547	0 12 72 80 132 150 156 182 264 290 296 314 366 374 434 446	-54110960532
SPT(16)	2596457161225096189	0 34 60 72 88 114 228 252 340 364 478 504 520 532 558 592	122321613110
STPT(10)	2596457164679735057	0 2 30 32 42 44 54 56 84 86	125776251978
STPT(10)	2596457321302659497	0 2 12 14 72 74 132 134 144 146	282399176418
STPT(10)	2596457767492434917	0 2 30 32 42 44 54 56 84 86	728588951838
STPT(10)	2596458277929813371	0 2 6 8 48 50 90 92 96 98	1239026330292