Prime p₀= 2506454941997098187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 58 2 136 2 10 2 10 2 (?)
a_n: 0 2 12 14 42 44 102 104 240 242 252 254 264 266
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: 266
Found by: [SG-FC] hl
db: batch=82, k=14, 10 28 58 136 10 10

SPT(16)	2506453033699016639	0 2 30 42 68 128 132 164 198 230 234 294 320 332 360 362	-1908298081548
STPT(10)	2506453902038744657	0 2 24 26 42 44 60 62 84 86	-1039958353530
SPT(16)	2506453980042671429	0 8 42 50 102 138 158 162 350 354 374 410 462 470 504 512	-961954426758
SPT(16)	2506454194936797233	0 74 78 150 186 206 260 318 326 384 438 458 494 566 570 644	-747060300954
STPT(10)	2506454681781464987	0 2 42 44 72 74 102 104 144 146	-260215633200
SPT(16)	2506454700879236929	0 12 72 94 132 160 204 222 262 280 324 352 390 412 472 484	-241117861258
SPT(16)	2506455178396120043	0 8 26 50 56 66 78 96 140 158 170 180 186 210 228 236	236399021856
STPT(10)	2506455602022111317	0 2 30 32 42 44 54 56 84 86	660025013130
TPT(14)	2506455813489845309	0 2 30 32 72 74 180 182 222 224 240 242 288 290	871492747122
STPT(10)	2506456040559577229	0 2 12 14 30 32 48 50 60 62	1098562479042
SPT(16)	2506456141757122343	0 8 20 90 138 158 180 200 204 224 246 266 314 384 396 404	1199760024156