Prime p₀= 1269052704706305731 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 88 2 46 2 28 2 130 2 (?)
a_n: 0 2 18 20 78 80 168 170 216 218 246 248 378 380
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: 380
Found by: mikey
db: batch=77, k=14, 16 58 88 46 28 130

SPT(16)	1269051194983596659	0 20 50 68 78 90 98 104 138 144 152 164 174 192 222 242	-1509722709072
STPT(12)	1269051377534535689	0 2 12 14 42 44 48 50 78 80 90 92	-1327171770042
TPT(14)	1269051869584438271	0 2 66 68 96 98 168 170 210 212 258 260 288 290	-835121867460
STPT(10)	1269051882358165721	0 2 6 8 48 50 90 92 96 98	-822348140010
SPT(16)	1269052277073125551	0 30 40 52 70 96 130 142 210 222 256 282 300 312 322 352	-427633180180
STPT(12)	1269052542969489461	0 2 78 80 120 122 198 200 240 242 318 320	-161736816270
SPT(16)	1269052725399195817	0 6 42 114 142 156 192 234 292 334 370 384 412 484 520 526	20692890086
STPT(10)	1269052743541618907	0 2 84 86 132 134 180 182 264 266	38835313176
SPT(16)	1269052825453830317	0 20 32 36 60 62 80 104 222 246 264 266 290 294 306 326	120747524586
SPT(16)	1269053257816071649	0 48 70 78 88 120 162 172 210 220 262 294 304 312 334 382	553109765918
SPT(16)	1269053355612797929	0 4 12 30 72 114 118 154 198 234 238 280 322 340 348 352	650906492198