Prime p₀= 808468951368697007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 46 2 10 2 58 2 64 2 52 2 (?)
a_n: 0 2 54 56 102 104 114 116 174 176 240 242 294 296
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: [SG-2W]Kurzer
db: batch=73, k=14, 52 46 10 58 64 52

STPT(10)	808467554475090449	0 2 18 20 30 32 42 44 60 62	-1396893606558
STPT(10)	808468023726765299	0 2 18 20 30 32 42 44 60 62	-927641931708
TPT(14)	808468414031632061	0 2 30 32 78 80 108 110 120 122 276 278 450 452	-537337064946
STPT(10)	808468560088272869	0 2 30 32 60 62 90 92 120 122	-391280424138
STPT(10)	808468655425820027	0 2 60 62 72 74 84 86 144 146	-295942876980
SPT(16)	808468845344795077	0 4 84 130 154 160 216 226 300 310 366 372 396 442 522 526	-106023901930
STPT(10)	808469063486353427	0 2 54 56 72 74 90 92 144 146	112117656420
SPT(16)	808469073522132283	0 6 10 16 24 30 34 76 84 126 130 136 144 150 154 160	122153435276
TPT(14)	808469099945719127	0 2 12 14 24 26 54 56 114 116 180 182 222 224	148577022120
SPT(16)	808469316408346499	0 14 32 90 98 102 162 168 194 200 260 264 272 330 348 362	365039649492
STPT(10)	808469995025667341	0 2 6 8 48 50 90 92 96 98	1043656970334