Prime p₀= 1270347190782217739 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 22 2 4 2 22 2 226 2 46 2 (?)
a_n: 0 2 48 50 72 74 78 80 102 104 330 332 378 380
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: 380
Found by: Megacruncher
db: batch=77, k=14, 46 22 4 22 226 46

SPT(16)	1270345670535131963	0 14 26 44 48 80 104 110 234 240 264 296 300 318 330 344	-1520247085776
SPT(16)	1270346463445960387	0 34 60 64 70 112 120 126 160 166 174 216 222 226 252 286	-727336257352
SPT(16)	1270346507676170501	0 20 30 36 66 78 128 146 192 210 260 272 302 308 318 338	-683106047238
SPT(16)	1270346633955830489	0 2 18 42 78 84 90 104 198 212 218 224 260 284 300 302	-556826387250
SPT(16)	1270346937362162417	0 20 42 66 86 92 146 200 216 270 324 330 350 374 396 416	-253420055322
SPT(16)	1270347061943577817	0 16 34 96 132 184 196 220 306 330 342 394 430 492 510 526	-128838639922
STPT(10)	1270347271748766257	0 2 54 56 72 74 90 92 144 146	80966548518
SPT(16)	1270347402860783011	0 6 22 72 102 142 156 162 310 316 330 370 400 450 466 472	212078565272
SPT(16)	1270347548964502157	0 42 80 90 116 140 164 182 234 252 276 300 326 336 374 416	358182284418
STPT(10)	1270348250655062531	0 2 96 98 168 170 240 242 336 338	1059872844792
STPT(10)	1270348275166610579	0 2 42 44 60 62 78 80 120 122	1084384392840