Prime p₀= 2786161266823788569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 28 2 106 2 46 2 22 2 (?)
a_n: 0 2 18 20 72 74 102 104 210 212 258 260 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 16 52 28 106 46 22

STPT(10)	2786159734305679091	0 2 6 8 48 50 90 92 96 98	-1532518109478
TPT(14)	2786159861958571871	0 2 48 50 108 110 120 122 126 128 168 170 210 212	-1404865216698
TPT(14)	2786160271204462307	0 2 24 26 210 212 330 332 372 374 432 434 462 464	-995619326262
SPT(16)	2786160342011134927	0 10 66 82 150 160 172 216 256 300 312 322 390 406 462 472	-924812653642
STPT(10)	2786160482644437707	0 2 12 14 72 74 132 134 144 146	-784179350862
SPT(16)	2786160571986694543	0 40 54 64 78 114 154 168 286 300 340 376 390 400 414 454	-694837094026
STPT(10)	2786162109261712499	0 2 42 44 90 92 138 140 180 182	842437923930
STPT(10)	2786162375883033281	0 2 36 38 78 80 120 122 156 158	1109059244712
SPT(16)	2786163191729431753	0 4 40 46 70 114 130 144 166 180 196 240 264 270 306 310	1924905643184
TPT(14)	2786165211966389831	0 2 6 8 90 92 156 158 186 188 198 200 270 272	3945142601262
STPT(10)	2786165315931846731	0 2 36 38 78 80 120 122 156 158	4049108058162