Prime p₀= 2607691243992699041 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 28 2 52 2 4 2 28 2 22 2 (?)
a_n: 0 2 126 128 156 158 210 212 216 218 246 248 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 124 28 52 4 28 22

STPT(10)	2607689729117815079	0 2 12 14 90 92 168 170 180 182	-1514874883962
TPT(14)	2607689848475114537	0 2 12 14 24 26 192 194 252 254 330 332 444 446	-1395517584504
TPT(14)	2607689969279085419	0 2 150 152 198 200 210 212 222 224 252 254 390 392	-1274713613622
SPT(16)	2607690191019476179	0 4 42 52 70 102 114 144 148 178 190 222 240 250 288 292	-1052973222862
STPT(10)	2607690735035142467	0 2 42 44 72 74 102 104 144 146	-508957556574
SPT(16)	2607691024908209731	0 36 66 78 148 178 190 192 226 228 240 270 340 352 382 418	-219084489310
SPT(16)	2607691403310816257	0 14 26 42 66 152 162 204 242 284 294 380 404 420 432 446	159318117216
TPT(14)	2607691411467440069	0 2 30 32 78 80 90 92 132 134 168 170 198 200	167474741028
SPT(16)	2607691423810950383	0 18 26 30 96 98 140 158 168 186 228 230 296 300 308 326	179818251342
SPT(16)	2607691431012603757	0 30 54 64 66 70 136 142 204 210 276 280 282 292 316 346	187019904716
SPT(18)	2607691676795136931	0 30 52 90 96 150 156 192 198 220 226 262 268 322 328 366 388 418	432802437890