Prime p₀= 1264962375546608567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 34 2 40 2 28 2 70 2 58 2 (?)
a_n: 0 2 54 56 90 92 132 134 162 164 234 236 294 296
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: 296
Found by: xii5ku
db: batch=77, k=14, 52 34 40 28 70 58

TPT(14)	1264961442811484651	0 2 30 32 78 80 156 158 270 272 288 290 396 398	-932735123916
SPT(16)	1264961559177506647	0 6 22 42 64 70 90 112 114 136 156 162 184 204 220 226	-816369101920
STPT(10)	1264961823022023557	0 2 12 14 72 74 132 134 144 146	-552524585010
STPT(10)	1264962142693379951	0 2 6 8 18 20 30 32 36 38	-232853228616
SPT(16)	1264962172342918109	0 30 42 62 92 114 120 128 144 152 158 180 210 230 242 272	-203203690458
STPT(10)	1264962316472687249	0 2 18 20 30 32 42 44 60 62	-59073921318
SPT(16)	1264962810769535833	0 18 28 36 40 48 70 88 156 174 196 204 208 216 226 244	435222927266
STPT(10)	1264962915070247087	0 2 90 92 102 104 114 116 204 206	539523638520
STPT(10)	1264963000199039927	0 2 30 32 60 62 90 92 120 122	624652431360
STPT(10)	1264963181910687527	0 2 30 32 72 74 114 116 144 146	806364078960
STPT(10)	1264963226139091481	0 2 36 38 78 80 120 122 156 158	850592482914