Prime p₀= 2156942105191995059 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 118 2 10 2 10 2 28 2 (?)
a_n: 0 2 72 74 78 80 198 200 210 212 222 224 252 254
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: 254
Found by: Landjunge
db: batch=81, k=14, 70 4 118 10 10 28

TPT(14)	2156940642267180611	0 2 18 20 30 32 48 50 78 80 156 158 210 212	-1462924814448
SPT(16)	2156940776508168643	0 18 40 46 48 58 66 76 150 160 168 178 180 186 208 226	-1328683826416
STPT(10)	2156940784688983619	0 2 18 20 30 32 42 44 60 62	-1320503011440
STPT(10)	2156941103568666827	0 2 24 26 42 44 60 62 84 86	-1001623328232
SPT(20)	2156941324727263433	0 80 84 90 128 134 164 168 198 276 308 386 416 420 450 456 494 500 504 584	-780464731626
SPT(16)	2156941809959922149	0 72 80 140 152 170 222 258 272 308 360 378 390 450 458 530	-295232072910
TPT(14)	2156942482971569771	0 2 30 32 36 38 60 62 78 80 126 128 168 170	377779574712
SPT(16)	2156942897482874681	0 6 8 32 60 102 146 182 186 222 266 308 336 360 362 368	792290879622
TPT(14)	2156943352647983519	0 2 12 14 48 50 72 74 102 104 168 170 252 254	1247455988460
STPT(10)	2156943435025490777	0 2 12 14 42 44 72 74 84 86	1329833495718
SPT(16)	2156943773437647323	0 6 8 30 48 56 78 110 156 188 210 218 236 258 260 266	1668245652264