Prime p₀= 2800510724417486081 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 28 2 28 2 70 2 76 2 (?)
a_n: 0 2 66 68 78 80 108 110 138 140 210 212 288 290
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: 290
Found by: [SG-FC] hl
db: batch=82, k=14, 64 10 28 28 70 76

STPT(10)	2800509768721393187	0 2 30 32 42 44 54 56 84 86	-955696092894
TPT(14)	2800509788771857949	0 2 12 14 48 50 78 80 90 92 252 254 360 362	-935645628132
SPT(16)	2800509875966851441	0 42 46 78 112 136 156 172 246 262 282 306 340 372 376 418	-848450634640
STPT(10)	2800509966225055751	0 2 6 8 18 20 30 32 36 38	-758192430330
SPT(16)	2800510042828279141	0 28 40 72 90 132 180 192 208 220 268 310 328 360 372 400	-681589206940
SPT(16)	2800510570413596861	0 20 36 56 108 116 156 198 218 260 300 308 360 380 396 416	-154003889220
SPT(16)	2800510871907223747	0 6 16 42 72 76 94 96 130 132 150 154 184 210 220 226	147489737666
SPT(16)	2800510948181648687	0 24 42 44 104 170 212 270 404 462 504 570 630 632 650 674	223764162606
STPT(10)	2800511309099568677	0 2 30 32 42 44 54 56 84 86	584682082596
STPT(10)	2800511460100780241	0 2 6 8 48 50 90 92 96 98	735683294160
STPT(10)	2800511472721564319	0 2 48 50 90 92 132 134 180 182	748304078238