Prime p₀= 2868859501374633857 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 46 2 106 2 22 2 16 2 (?)
a_n: 0 2 30 32 54 56 102 104 210 212 234 236 252 254
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: 254
Found by: [SG-FC] hl
db: batch=82, k=14, 28 22 46 106 22 16

STPT(10)	2868858273577727441	0 2 6 8 48 50 90 92 96 98	-1227796906416
SPT(16)	2868858305885881861	0 10 28 90 96 126 160 166 180 186 220 250 256 318 336 346	-1195488751996
STPT(10)	2868858567607248647	0 2 30 32 72 74 114 116 144 146	-933767385210
SPT(16)	2868858855269492573	0 20 48 60 68 74 104 138 140 174 204 210 218 230 258 278	-646105141284
TPT(14)	2868859014065820029	0 2 72 74 90 92 132 134 198 200 258 260 270 272	-487308813828
STPT(10)	2868859224838883411	0 2 36 38 78 80 120 122 156 158	-276535750446
SPT(16)	2868860147599159577	0 12 24 30 50 80 182 194 222 234 336 366 386 392 404 416	646224525720
STPT(10)	2868860216667224189	0 2 48 50 90 92 132 134 180 182	715292590332
SPT(16)	2868860620619347531	0 30 60 72 78 126 132 178 210 256 262 310 316 328 358 388	1119244713674
SPT(16)	2868860926138353941	0 2 6 20 36 68 72 90 98 116 120 152 168 182 186 188	1424763720084
SPT(16)	2868861076696784047	0 4 22 30 36 64 114 124 162 172 222 250 256 264 282 286	1575322150190