Prime p₀= 1186462865144330729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 64 2 112 2 94 2 10 2 (?)
a_n: 0 2 60 62 102 104 168 170 282 284 378 380 390 392
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: Theadalus
db: batch=77, k=14, 58 40 64 112 94 10

SPT(16)	1186461558121482767	0 26 36 42 50 56 62 66 260 264 270 276 284 290 300 326	-1307022847962
SPT(16)	1186461678251994829	0 18 28 54 112 154 172 174 178 180 198 240 298 324 334 352	-1186892335900
SPT(16)	1186461691886361287	0 14 42 90 102 104 144 152 174 182 222 224 236 284 312 326	-1173257969442
STPT(10)	1186461696928544159	0 2 12 14 30 32 48 50 60 62	-1168215786570
STPT(10)	1186461821536931741	0 2 6 8 48 50 90 92 96 98	-1043607398988
TPT(14)	1186462841602372799	0 2 78 80 90 92 132 134 150 152 180 182 192 194	-23541957930
SPT(16)	1186463257632873799	0 10 22 28 42 88 94 102 280 288 294 340 354 360 372 382	392488543070
STPT(10)	1186463297857741661	0 2 6 8 18 20 30 32 36 38	432713410932
STPT(10)	1186463334747323987	0 2 54 56 72 74 90 92 144 146	469602993258
TPT(14)	1186463457784143689	0 2 78 80 150 152 252 254 300 302 360 362 402 404	592639812960
STPT(10)	1186463533085042711	0 2 36 38 78 80 120 122 156 158	667940711982