Prime p₀= 2868861143906582351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 64 2 10 2 46 2 118 2 (?)
a_n: 0 2 18 20 90 92 156 158 168 170 216 218 336 338
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: 338
Found by: [SG-FC] hl
db: batch=82, k=14, 16 70 64 10 46 118

TPT(14)	2868859501374633857	0 2 30 32 54 56 102 104 210 212 234 236 252 254	-1642531948494
SPT(16)	2868860147599159577	0 12 24 30 50 80 182 194 222 234 336 366 386 392 404 416	-996307422774
STPT(10)	2868860216667224189	0 2 48 50 90 92 132 134 180 182	-927239358162
SPT(16)	2868860620619347531	0 30 60 72 78 126 132 178 210 256 262 310 316 328 358 388	-523287234820
SPT(16)	2868860926138353941	0 2 6 20 36 68 72 90 98 116 120 152 168 182 186 188	-217768228410
SPT(16)	2868861076696784047	0 4 22 30 36 64 114 124 162 172 222 250 256 264 282 286	-67209798304
SPT(16)	2868861161281344181	0 10 46 72 78 88 108 148 150 190 210 220 226 252 288 298	17374761830
SPT(16)	2868861494448420649	0 28 52 78 90 112 120 124 288 292 300 322 334 360 384 412	350541838298
STPT(10)	2868861744933704489	0 2 12 14 30 32 48 50 60 62	601027122138
SPT(16)	2868863120480002883	0 26 48 146 168 198 200 206 300 306 308 338 360 458 480 506	1976573420532
STPT(10)	2868863168072660021	0 2 6 8 48 50 90 92 96 98	2024166077670