Prime p₀= 1424846665842210101 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 70 2 40 2 148 2 28 2 (?)
a_n: 0 2 30 32 96 98 168 170 210 212 360 362 390 392
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: 392
Found by: vinn@[CNT]
db: batch=78, k=14, 28 64 70 40 148 28

SPT(16)	1424845056589084121	0 36 80 90 120 140 146 150 206 210 216 236 266 276 320 356	-1609253125980
SPT(16)	1424845512768123499	0 18 34 100 138 160 174 184 228 238 252 274 312 378 394 412	-1153074086602
SPT(16)	1424845836382409269	0 30 72 82 108 124 132 138 154 160 168 184 210 220 262 292	-829459800832
STPT(10)	1424846083726647707	0 2 30 32 72 74 114 116 144 146	-582115562394
SPT(16)	1424846587528869899	0 20 30 38 62 108 114 128 144 158 164 210 234 242 252 272	-78313340202
SPT(16)	1424846590770772289	0 2 68 72 110 134 158 180 182 204 228 252 290 294 360 362	-75071437812
STPT(10)	1424846726392927427	0 2 42 44 72 74 102 104 144 146	60550717326
STPT(10)	1424846874784786889	0 2 42 44 60 62 78 80 120 122	208942576788
STPT(10)	1424847952087302929	0 2 18 20 30 32 42 44 60 62	1286245092828
TPT(14)	1424848161791537801	0 2 108 110 138 140 180 182 216 218 258 260 336 338	1495949327700
SPT(16)	1424848181983935307	0 16 30 70 76 114 240 252 274 286 412 450 456 496 510 526	1516141725206