Prime p₀= 2380663855336730009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 148 2 46 2 148 2 10 2 46 2 (?)
a_n: 0 2 102 104 252 254 300 302 450 452 462 464 510 512
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: 512
Found by: Landjunge
db: batch=81, k=14, 100 148 46 148 10 46

SPT(16)	2380662190050990743	0 24 30 56 104 150 164 230 234 300 314 360 408 434 440 464	-1665285739266
SPT(16)	2380662312685735909	0 4 10 54 64 88 120 138 160 178 210 234 244 288 294 298	-1542650994100
STPT(10)	2380662363338247251	0 2 6 8 48 50 90 92 96 98	-1491998482758
STPT(10)	2380662979326107657	0 2 24 26 42 44 60 62 84 86	-876010622352
STPT(10)	2380663737291472481	0 2 30 32 60 62 90 92 120 122	-118045257528
SPT(16)	2380663811105216941	0 36 76 108 120 148 160 166 192 198 210 238 250 282 322 358	-44231513068
SPT(16)	2380663868125537789	0 4 28 48 60 72 78 112 300 334 340 352 364 384 408 412	12788807780
SPT(16)	2380664296920952403	0 8 36 60 84 98 158 174 230 246 306 320 344 368 396 404	441584222394
SPT(16)	2380664310892607657	0 2 54 140 152 176 180 192 224 236 240 264 276 362 414 416	455555877648
STPT(10)	2380664463580564547	0 2 12 14 42 44 72 74 84 86	608243834538
SPT(16)	2380665038677962109	0 40 82 150 154 178 184 198 244 258 264 288 292 360 402 442	1183341232100