Prime p₀= 2398446412587155219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 82 2 64 2 40 2 88 2 40 2 (?)
a_n: 0 2 18 20 102 104 168 170 210 212 300 302 342 344
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: 344
Found by: [SG-FC] hl
db: batch=82, k=14, 16 82 64 40 88 40

SPT(16)	2398445137234445737	0 12 70 102 114 120 132 142 144 154 166 172 184 216 274 286	-1275352709482
SPT(16)	2398445372666165167	0 24 30 52 76 112 126 132 154 160 174 210 234 256 262 286	-1039920990052
SPT(16)	2398445788578286129	0 4 28 40 100 138 144 172 210 238 244 282 342 354 378 382	-624008869090
STPT(10)	2398446062053926551	0 2 6 8 18 20 30 32 36 38	-350533228668
STPT(10)	2398446122642547977	0 2 24 26 42 44 60 62 84 86	-289944607242
SPT(16)	2398446378389653327	0 16 40 54 72 82 84 94 102 112 114 124 142 156 180 196	-34197501892
SPT(16)	2398447404338079077	0 14 20 26 36 54 74 120 200 246 266 284 294 300 306 320	991750923858
TPT(14)	2398447478996781941	0 2 78 80 126 128 180 182 198 200 276 278 288 290	1066409626722
SPT(16)	2398447633627991041	0 12 22 42 70 96 130 132 160 162 196 222 250 270 280 292	1221040835822
SPT(16)	2398447778631411613	0 28 36 78 96 106 138 150 166 178 210 220 238 280 288 316	1366044256394
TPT(14)	2398447806103175117	0 2 54 56 132 134 144 146 174 176 264 266 282 284	1393516019898