Prime p₀= 1345956283091418281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 40 2 244 2 22 2 106 2 (?)
a_n: 0 2 6 8 48 50 90 92 336 338 360 362 468 470
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: 470
Found by: HenkM
db: batch=77, k=14, 4 40 40 244 22 106

STPT(10)	1345955325434137679	0 2 18 20 30 32 42 44 60 62	-957657280602
SPT(16)	1345955571327697523	0 18 30 48 50 86 116 140 216 240 270 306 308 326 338 356	-711763720758
SPT(16)	1345955628048259973	0 20 50 66 90 96 108 138 176 206 218 224 248 264 294 314	-655043158308
STPT(10)	1345955640027084431	0 2 36 38 78 80 120 122 156 158	-643064333850
TPT(14)	1345955888718668609	0 2 48 50 90 92 222 224 228 230 258 260 378 380	-394372749672
SPT(16)	1345955988250579579	0 12 30 60 70 112 144 154 210 220 252 294 304 334 352 364	-294840838702
SPT(16)	1345956363004424891	0 32 132 150 192 206 222 228 230 236 252 266 308 326 426 458	79913006610
STPT(10)	1345956430079149709	0 2 42 44 60 62 78 80 120 122	146987731428
SPT(16)	1345956693365778811	0 6 36 66 102 108 118 136 252 270 280 286 322 352 382 388	410274360530
SPT(16)	1345956717087434233	0 6 34 46 136 210 214 228 286 300 304 378 468 480 508 514	433996015952
SPT(16)	1345956762005619607	0 46 54 60 64 84 100 112 114 126 142 162 166 172 180 226	478914201326