Prime p₀= 3007874100697395821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 16 2 10 2 46 2 10 2 (?)
a_n: 0 2 6 8 48 50 66 68 78 80 126 128 138 140
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: 140
Found by: Orange Kid
db: batch=82, k=14, 4 40 16 10 46 10

SPT(16)	3007872422768560793	0 6 26 54 98 158 206 234 260 288 336 396 440 468 488 494	-1677928835028
SPT(16)	3007872696738993049	0 18 30 40 64 94 168 178 240 250 324 354 378 388 400 418	-1403958402772
STPT(10)	3007873350129641207	0 2 42 44 132 134 222 224 264 266	-750567754614
STPT(10)	3007873440773348039	0 2 12 14 90 92 168 170 180 182	-659924047782
SPT(16)	3007873565348042047	0 12 34 42 90 142 166 192 244 270 294 346 394 402 424 436	-535349353774
SPT(16)	3007873633398244561	0 40 82 132 192 216 240 250 312 322 346 370 430 480 522 562	-467299151260
SPT(16)	3007874556356068757	0 14 44 86 120 122 182 194 222 234 294 296 330 372 402 416	455658672936
STPT(10)	3007874617754338427	0 2 30 32 42 44 54 56 84 86	517056942606
STPT(10)	3007876007975464991	0 2 30 32 78 80 126 128 156 158	1907278069170
SPT(16)	3007876653049699933	0 10 60 76 150 168 196 210 214 228 256 274 348 364 414 424	2552352304112
SPT(16)	3007877225298154663	0 10 28 46 70 76 88 90 136 138 150 156 180 198 216 226	3124600758842