Prime p₀= 1379867323045084997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 76 2 88 2 46 2 40 2 10 2 (?)
a_n: 0 2 54 56 132 134 222 224 270 272 312 314 324 326
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: 326
Found by: Fornax
db: batch=77, k=14, 52 76 88 46 40 10

SPT(16)	1379866324047296749	0 28 42 82 100 108 112 114 178 180 184 192 210 250 264 292	-998997788248
STPT(14)	1379866334054965187	0 2 30 32 54 56 72 74 90 92 114 116 144 146	-988990119810
TPT(14)	1379866334054965187	0 2 30 32 54 56 72 74 90 92 114 116 144 146	-988990119810
STPT(10)	1379866663080410777	0 2 30 32 42 44 54 56 84 86	-659964674220
TPT(14)	1379866975942443071	0 2 186 188 228 230 276 278 336 338 378 380 420 422	-347102641926
SPT(16)	1379867265582004127	0 12 26 54 92 164 234 246 290 302 372 444 482 510 524 536	-57463080870
STPT(10)	1379867791536684389	0 2 18 20 30 32 42 44 60 62	468491599392
SPT(18)	1379867815914396859	0 58 84 112 114 138 162 204 232 240 268 310 334 358 360 388 414 472	492869311862
STPT(10)	1379868031753032551	0 2 36 38 78 80 120 122 156 158	708707947554
SPT(16)	1379868037249746689	0 2 38 60 110 138 144 152 240 248 254 282 332 354 390 392	714204661692
SPT(18)	1379868089932125943	0 4 18 28 34 70 88 120 144 160 184 216 234 270 276 286 300 304	766887040946