Prime p₀= 1382066654169039401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 28 2 22 2 196 2 16 2 (?)
a_n: 0 2 6 8 66 68 96 98 120 122 318 320 336 338
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: 338
Found by: Theadalus
db: batch=77, k=14, 4 58 28 22 196 16

SPT(16)	1382065888533432341	0 32 56 116 120 128 152 156 182 186 210 218 222 282 306 338	-765635607060
SPT(16)	1382065911550606511	0 36 50 62 92 102 116 126 182 192 206 216 246 258 272 308	-742618432890
SPT(16)	1382066031367548883	0 24 28 58 88 130 144 180 184 220 234 276 306 336 340 364	-622801490518
SPT(16)	1382066031389605141	0 12 46 60 72 90 112 172 180 240 262 280 292 306 340 352	-622779434260
SPT(16)	1382066162748316541	0 6 12 68 90 96 108 132 146 170 182 188 210 266 272 278	-491420722860
STPT(10)	1382066449915865027	0 2 12 14 42 44 72 74 84 86	-204253174374
SPT(16)	1382067302933151607	0 10 12 34 70 82 106 112 174 180 204 216 252 274 276 286	648764112206
TPT(14)	1382067682719439949	0 2 30 32 78 80 102 104 162 164 198 200 258 260	1028550400548
SPT(16)	1382068065651583537	0 22 34 66 96 100 112 156 160 204 216 220 250 282 294 316	1411482544136
SPT(16)	1382068231849681147	0 6 30 66 76 84 114 136 150 172 202 210 220 256 280 286	1577680641746
STPT(10)	1382068500216993707	0 2 24 26 42 44 60 62 84 86	1846047954306