Prime p₀= 2827002163493935067 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 52 2 64 2 82 2 46 2 (?)
a_n: 0 2 12 14 60 62 114 116 180 182 264 266 312 314
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: 314
Found by: [SG-FC] hl
db: batch=82, k=14, 10 46 52 64 82 46

SPT(16)	2827000156708052621	0 30 38 72 90 92 132 162 176 206 246 248 266 300 308 338	-2006785882446
SPT(16)	2827000706132670547	0 36 72 106 126 132 154 156 160 162 184 190 210 244 280 316	-1457361264520
STPT(10)	2827000741794286427	0 2 30 32 42 44 54 56 84 86	-1421699648640
SPT(16)	2827001192380088897	0 20 42 54 60 90 134 150 176 192 236 266 272 284 306 326	-971113846170
SPT(16)	2827001618572771001	0 18 26 48 68 96 110 150 176 216 230 258 278 300 308 326	-544921164066
STPT(10)	2827001660288802497	0 2 54 56 72 74 90 92 144 146	-503205132570
STPT(10)	2827002507732593249	0 2 12 14 90 92 168 170 180 182	344238658182
STPT(10)	2827002559257815357	0 2 12 14 42 44 72 74 84 86	395763880290
STPT(10)	2827002588375591851	0 2 36 38 78 80 120 122 156 158	424881656784
STPT(10)	2827002672195400817	0 2 30 32 42 44 54 56 84 86	508701465750
SPT(16)	2827002701347425199	0 18 42 78 162 174 180 184 228 232 238 250 334 370 394 412	537853490132