Prime p₀= 1478668041132695549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 82 2 4 2 22 2 4 2 130 2 (?)
a_n: 0 2 48 50 132 134 138 140 162 164 168 170 300 302
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: 302
Found by: Theadalus
db: batch=78, k=14, 46 82 4 22 4 130

SPT(16)	1478666824280055191	0 8 36 38 60 66 96 168 200 272 302 308 330 332 360 368	-1216852640358
STPT(10)	1478666964751871897	0 2 30 32 60 62 90 92 120 122	-1076380823652
SPT(16)	1478667200095824031	0 100 150 166 178 186 226 276 382 432 472 480 492 508 558 658	-841036871518
TPT(14)	1478667256655963357	0 2 282 284 324 326 354 356 390 392 492 494 504 506	-784476732192
STPT(10)	1478667677252635781	0 2 6 8 18 20 30 32 36 38	-363880059768
SPT(16)	1478667816653568589	0 34 42 72 102 130 142 174 178 210 222 250 280 310 318 352	-224479126960
SPT(16)	1478668154250189337	0 4 40 42 52 66 70 144 172 246 250 264 274 276 312 316	113117493788
STPT(10)	1478668422771788777	0 2 60 62 72 74 84 86 144 146	381639093228
STPT(10)	1478668659998393921	0 2 36 38 78 80 120 122 156 158	618865698372
TPT(14)	1478668677759337367	0 2 42 44 84 86 90 92 144 146 174 176 270 272	636626641818
SPT(16)	1478668997028863021	0 12 30 50 68 128 156 162 176 182 210 270 288 308 326 338	955896167472