Prime p₀= 2383015254574203017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 370 2 16 2 16 2 52 2 28 2 (?)
a_n: 0 2 72 74 444 446 462 464 480 482 534 536 564 566
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: 566
Found by: ChUcK
db: batch=81, k=14, 70 370 16 16 52 28

SPT(16)	2383013343919868041	0 30 78 88 96 126 130 162 166 198 202 232 240 250 298 328	-1910654334976
STPT(10)	2383013642923799657	0 2 30 32 72 74 114 116 144 146	-1611650403360
STPT(10)	2383013706895277579	0 2 12 14 30 32 48 50 60 62	-1547678925438
STPT(10)	2383013822032109801	0 2 78 80 108 110 138 140 216 218	-1432542093216
SPT(16)	2383013940402358349	0 20 42 98 128 168 170 212 258 300 302 342 372 428 450 470	-1314171844668
SPT(16)	2383014555455626403	0 54 56 86 110 120 150 156 188 194 224 234 258 288 290 344	-699118576614
STPT(10)	2383015640250521291	0 2 36 38 78 80 120 122 156 158	385676318274
SPT(16)	2383015749707615831	0 8 32 48 158 180 198 200 240 242 260 282 392 408 432 440	495133412814
TPT(14)	2383015808381152727	0 2 12 14 102 104 144 146 180 182 264 266 360 362	553806949710
STPT(10)	2383015839302938661	0 2 6 8 48 50 90 92 96 98	584728735644
STPT(10)	2383015965733478399	0 2 18 20 60 62 102 104 120 122	711159275382