Prime p₀= 1248275400366407471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 16 2 76 2 28 2 22 2 (?)
a_n: 0 2 36 38 60 62 78 80 156 158 186 188 210 212
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: 212
Found by: stoneageman
db: batch=77, k=14, 34 22 16 76 28 22

SPT(16)	1248275065674791107	0 10 46 52 64 94 100 202 354 456 462 492 504 510 546 556	-334691616364
SPT(18)	1248275148290504839	0 4 22 30 52 58 108 130 148 234 252 274 324 330 352 360 378 382	-252075902632
SPT(16)	1248275153941770187	0 30 60 72 102 112 132 154 162 184 204 214 244 256 286 316	-246424637284
SPT(16)	1248275202046570051	0 22 46 120 142 168 208 228 310 330 370 396 418 492 516 538	-198319837420
SPT(16)	1248275203759163387	0 20 84 86 96 122 150 192 194 236 264 290 300 302 366 386	-196607244084
SPT(16)	1248275324571825271	0 16 30 36 96 142 190 196 222 228 276 322 382 388 402 418	-75794582200
STPT(10)	1248276020929502231	0 2 6 8 18 20 30 32 36 38	620563094760
SPT(16)	1248276326303992883	0 44 80 126 134 174 234 240 260 266 326 366 374 420 456 500	925937585412
SPT(13)	1248276339341926123	0 6 36 48 66 78 108 138 150 168 180 210 216	938975518652
SPT(16)	1248276385433311001	0 8 20 48 60 62 92 138 140 186 216 218 230 258 270 278	985066903530
SPT(16)	1248276412043225387	0 12 14 42 56 96 140 170 186 216 260 300 314 342 344 356	1011676817916