Prime p₀= 1578821684730106337 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 130 2 58 2 28 2 106 2 88 2 (?)
a_n: 0 2 42 44 174 176 234 236 264 266 372 374 462 464
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: 464
Found by: xii5ku
db: batch=78, k=14, 40 130 58 28 106 88

STPT(10)	1578821292650042801	0 2 6 8 48 50 90 92 96 98	-392080063536
SPT(16)	1578821310951367099	0 40 42 52 64 78 84 108 154 178 184 198 210 220 222 262	-373778739238
SPT(16)	1578821343465915377	0 12 36 56 86 92 96 104 162 170 174 180 210 230 254 266	-341264190960
SPT(16)	1578821416766519351	0 12 72 110 116 152 258 270 308 320 426 462 468 506 566 578	-267963586986
SPT(16)	1578821606912322133	0 4 48 70 78 106 138 154 180 196 228 256 264 286 330 334	-77817784204
SPT(16)	1578821612170417339	0 30 58 60 72 102 138 160 180 202 238 268 280 282 310 340	-72559688998
SPT(16)	1578821904570814817	0 2 14 26 42 60 104 110 216 222 266 284 300 312 324 326	219840708480
STPT(10)	1578822046500442097	0 2 12 14 72 74 132 134 144 146	361770335760
STPT(10)	1578822094350177977	0 2 24 26 42 44 60 62 84 86	409620071640
STPT(10)	1578822304978204751	0 2 48 50 108 110 168 170 216 218	620248098414
STPT(10)	1578822323995166177	0 2 30 32 72 74 114 116 144 146	639265059840