Prime p₀= 2424369517236285677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 46 2 76 2 70 2 40 2 16 2 (?)
a_n: 0 2 84 86 132 134 210 212 282 284 324 326 342 344
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: JayPi
db: batch=82, k=14, 82 46 76 70 40 16

SPT(16)	2424367340746488763	0 6 66 70 94 114 136 138 196 198 220 240 264 268 328 334	-2176489796914
SPT(16)	2424367385969317961	0 30 60 98 132 146 170 188 390 408 432 446 480 518 548 578	-2131266967716
SPT(16)	2424367705181761411	0 30 36 46 66 76 172 178 210 216 312 322 342 352 358 388	-1812054524266
STPT(10)	2424368393989331357	0 2 12 14 42 44 72 74 84 86	-1123246954320
SPT(16)	2424369224387661851	0 20 56 62 66 110 126 132 230 236 252 296 300 306 342 362	-292848623826
STPT(10)	2424369313139808701	0 2 6 8 18 20 30 32 36 38	-204096476976
SPT(16)	2424369923396877143	0 18 56 86 108 114 150 168 206 224 260 266 288 318 356 374	406160591466
SPT(16)	2424370041070426741	0 6 10 42 52 66 90 160 168 238 262 276 286 318 322 328	523834141064
SPT(16)	2424370152496768807	0 6 16 30 34 36 84 174 256 346 394 396 400 414 424 430	635260483130
SPT(16)	2424370158930060529	0 12 34 40 60 82 100 112 282 294 312 334 354 360 382 394	641693774852
SPT(16)	2424370351309172183	0 56 78 86 120 180 206 260 324 378 404 464 498 506 528 584	834072886506