Prime p₀= 1264545428351156837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 16 2 88 2 40 2 4 2 22 2 (?)
a_n: 0 2 114 116 132 134 222 224 264 266 270 272 294 296
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: stoneageman
db: batch=77, k=14, 112 16 88 40 4 22

SPT(16)	1264544950682054221	0 6 46 60 90 118 136 160 228 252 270 298 328 342 382 388	-477669102616
SPT(16)	1264545072015054829	0 30 42 48 60 82 142 150 160 168 228 250 262 268 280 310	-356336102008
SPT(16)	1264545096180970217	0 50 66 74 80 122 150 152 174 176 204 246 252 260 276 326	-332170186620
SPT(16)	1264545173139791969	0 2 12 18 38 44 72 74 108 110 138 144 164 170 180 182	-255211364868
TPT(14)	1264545350591948639	0 2 60 62 168 170 198 200 210 212 240 242 258 260	-77759208198
TPT(14)	1264545403542239417	0 2 60 62 144 146 174 176 222 224 342 344 354 356	-24808917420
STPT(10)	1264545828614254727	0 2 30 32 72 74 114 116 144 146	400263097890
STPT(10)	1264545846671532707	0 2 42 44 72 74 102 104 144 146	418320375870
STPT(10)	1264545913210309349	0 2 42 44 90 92 138 140 180 182	484859152512
STPT(10)	1264546253362588529	0 2 12 14 90 92 168 170 180 182	825011431692
TPT(14)	1264546319176971641	0 2 18 20 150 152 156 158 180 182 186 188 306 308	890825814804