Prime p₀= 2475258091010731709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 52 2 34 2 70 2 58 2 (?)
a_n: 0 2 12 14 48 50 102 104 138 140 210 212 270 272
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: 272
Found by: Sammey19
db: batch=82, k=14, 10 34 52 34 70 58

STPT(10)	2475256038835507199	0 2 18 20 30 32 42 44 60 62	-2052175224510
STPT(10)	2475256386614434979	0 2 48 50 90 92 132 134 180 182	-1704396296730
SPT(16)	2475256567842747023	0 90 98 186 200 290 356 404 480 528 594 684 698 786 794 884	-1523167984686
SPT(16)	2475256924458060803	0 54 84 104 114 126 176 216 308 348 398 410 420 440 470 524	-1166552670906
SPT(16)	2475257284095752201	0 62 90 152 162 218 260 300 308 348 390 446 456 518 546 608	-806914979508
STPT(10)	2475257690973069437	0 2 30 32 42 44 54 56 84 86	-400037662272
STPT(10)	2475258242965371737	0 2 30 32 42 44 54 56 84 86	151954640028
STPT(10)	2475258275307888779	0 2 42 44 60 62 78 80 120 122	184297157070
SPT(16)	2475258665705358769	0 12 18 54 88 112 118 130 132 144 150 174 208 244 250 262	574694627060
SPT(16)	2475258773764489253	0 36 98 104 116 140 144 150 224 230 234 258 270 276 338 374	682753757544
SPT(16)	2475258822384590239	0 12 18 28 70 72 78 100 210 232 238 240 282 292 298 310	731373858530