Prime p₀= 2579545797463166099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 40 2 16 2 28 2 112 2 (?)
a_n: 0 2 42 44 78 80 120 122 138 140 168 170 282 284
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: 284
Found by: RFGuy_KCCO
db: batch=82, k=14, 40 34 40 16 28 112

SPT(16)	2579543421042928429	0 12 18 24 48 82 160 162 220 222 300 334 358 364 370 382	-2376420237670
STPT(10)	2579543618332821191	0 2 6 8 18 20 30 32 36 38	-2179130344908
SPT(16)	2579544123202915637	0 14 30 42 114 140 194 200 264 270 324 350 422 434 450 464	-1674260250462
SPT(16)	2579544225392398241	0 18 32 42 68 80 132 138 230 236 288 300 326 336 350 368	-1572070767858
SPT(16)	2579545695122051587	0 84 154 162 172 184 204 210 214 220 240 252 262 270 340 424	-102341114512
TPT(14)	2579545784980135589	0 2 48 50 60 62 228 230 252 254 300 302 330 332	-12483030510
SPT(16)	2579546231542139971	0 52 66 70 100 102 132 150 178 196 226 228 258 262 276 328	434078973872
SPT(16)	2579546793451846333	0 30 64 100 114 124 190 220 264 294 360 370 384 420 454 484	995988680234
SPT(16)	2579547108451848371	0 36 78 92 126 176 212 246 272 306 342 392 426 440 482 518	1310988682272
SPT(16)	2579547369110817041	0 6 30 62 128 146 156 158 180 182 192 210 276 308 332 338	1571647650942
STPT(10)	2579547868633360127	0 2 24 26 42 44 60 62 84 86	2071170194028