Prime p₀= 1264589594142502391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 178 2 28 2 106 2 40 2 16 2 (?)
a_n: 0 2 30 32 210 212 240 242 348 350 390 392 408 410
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: 410
Found by: xii5ku
db: batch=77, k=14, 28 178 28 106 40 16

STPT(10)	1264587107767680407	0 2 60 62 72 74 84 86 144 146	-2486374821984
STPT(10)	1264587437007884777	0 2 12 14 72 74 132 134 144 146	-2157134617614
SPT(16)	1264587515730709661	0 12 80 98 108 126 140 152 156 168 182 200 210 228 296 308	-2078411792730
SPT(16)	1264587690657890029	0 4 48 70 88 100 162 204 208 250 312 324 342 364 408 412	-1903484612362
STPT(10)	1264587837443690699	0 2 18 20 30 32 42 44 60 62	-1756698811692
SPT(16)	1264589048547786307	0 10 34 42 76 82 100 132 184 216 234 240 274 282 306 316	-545594716084
SPT(16)	1264589639856380171	0 6 8 66 80 98 132 146 162 176 210 228 242 300 302 308	45713877780
SPT(16)	1264589769565485499	0 12 58 100 114 118 142 160 162 180 204 208 222 264 310 322	175422983108
STPT(10)	1264589781369414749	0 2 18 20 30 32 42 44 60 62	187226912358
STPT(10)	1264589897800955807	0 2 12 14 72 74 132 134 144 146	303658453416
SPT(18)	1264590107328449269	0 30 34 42 60 102 118 132 142 240 250 264 280 322 340 348 352 382	513185946878