Prime p₀= 539393058174960629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 70 2 10 2 46 2 40 2 34 2 (?)
a_n: 0 2 48 50 120 122 132 134 180 182 222 224 258 260
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: 260
Found by: phoenicis
db: batch=56, k=14, 46 70 10 46 40 34

SPT(14)	539392990555490633	0 20 30 56 66 104 146 168 210 248 258 284 294 314	-67619469996
SPT(14)	539393000663343227	0 30 44 62 140 174 186 230 242 276 354 372 386 416	-57511617402
SPT(14)	539393030303188657	0 10 12 22 66 112 136 156 180 226 270 280 282 292	-27871771972
SPT(14)	539393032388407697	0 36 120 126 152 170 192 194 216 234 260 266 350 386	-25786552932
SPT(14)	539393033236348051	0 10 12 22 76 88 126 172 210 222 276 286 288 298	-24938612578
SPT(14)	539393036642357033	0 14 26 48 50 96 134 180 218 264 266 288 300 314	-21532603596
SPT(14)	539393069887215749	0 38 62 132 140 192 240 260 308 360 368 438 462 500	11712255120
TPT(12)	539393072596686731	0 2 78 80 90 92 96 98 120 122 216 218	14421726102
SPT(14)	539393093811432011	0 12 60 78 86 92 176 222 306 312 320 338 386 398	35636471382
SPT(14)	539393100755363251	0 82 108 112 150 168 192 196 220 238 276 280 306 388	42580402622
SPT(14)	539393121325187531	0 2 68 72 78 90 108 110 128 140 146 150 216 218	63150226902