Prime p₀= 2247857684456435927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 76 2 88 2 112 2 34 2 (?)
a_n: 0 2 30 32 42 44 120 122 210 212 324 326 360 362
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: 362
Found by: raddoc
db: batch=81, k=14, 28 10 76 88 112 34

STPT(10)	2247856458323083577	0 2 12 14 72 74 132 134 144 146	-1226133352350
SPT(16)	2247856617696986773	0 58 66 180 198 256 268 288 298 318 330 388 406 520 528 586	-1066759449154
SPT(16)	2247856707836802619	0 18 60 78 84 118 124 138 154 168 174 208 214 232 274 292	-976619633308
SPT(16)	2247857257170022343	0 86 104 128 164 180 200 206 258 264 284 300 336 360 378 464	-427286413584
SPT(16)	2247857404921919423	0 14 24 36 44 128 146 150 194 198 216 300 308 320 330 344	-279534516504
STPT(12)	2247857498745068459	0 2 12 14 30 32 42 44 60 62 72 74	-185711367468
STPT(10)	2247857865334159487	0 2 54 56 132 134 210 212 264 266	180877723560
SPT(16)	2247857979964628567	0 42 56 120 134 180 200 204 242 246 266 312 326 390 404 446	295508192640
STPT(10)	2247858287155398077	0 2 30 32 42 44 54 56 84 86	602698962150
SPT(16)	2247858354940808041	0 18 46 66 70 78 108 126 130 148 178 186 190 210 238 256	670484372114
SPT(16)	2247858623957589779	0 30 78 104 108 204 234 248 264 278 308 404 408 434 482 512	939501153852