Prime p₀= 2689374126300104567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 130 2 10 2 166 2 28 2 10 2 (?)
a_n: 0 2 30 32 162 164 174 176 342 344 372 374 384 386
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: 386
Found by: [SG-FC] hl
db: batch=82, k=14, 28 130 10 166 28 10

SPT(16)	2689373542318548739	0 10 30 58 78 150 162 190 240 268 280 352 372 400 420 430	-583981555828
SPT(16)	2689373546124166631	0 20 36 42 72 78 122 132 416 426 470 476 506 512 528 548	-580175937936
TPT(14)	2689373560435600007	0 2 54 56 210 212 300 302 312 314 324 326 384 386	-565864504560
SPT(18)	2689373669462183621	0 12 36 66 156 162 198 222 242 246 266 290 326 332 422 452 476 488	-456837920946
STPT(10)	2689373867663982617	0 2 30 32 42 44 54 56 84 86	-258636121950
SPT(16)	2689374023742996893	0 36 90 108 158 176 254 290 294 330 408 426 476 494 548 584	-102557107674
STPT(10)	2689374349224977147	0 2 24 26 42 44 60 62 84 86	222924872580
SPT(16)	2689375393948173797	0 20 42 60 114 132 150 164 192 206 224 242 296 314 336 356	1267648069230
SPT(16)	2689375865632051493	0 24 50 120 126 140 200 216 218 234 294 308 314 384 410 434	1739331946926
SPT(16)	2689375958168069743	0 6 28 34 48 60 100 108 136 144 184 196 210 216 238 244	1831867965176
STPT(10)	2689375980299228117	0 2 42 44 72 74 102 104 144 146	1853999123550