Prime p₀= 2726558156237224667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 106 2 28 2 40 2 28 2 (?)
a_n: 0 2 24 26 42 44 150 152 180 182 222 224 252 254
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: conf [MM]
db: batch=82, k=14, 22 16 106 28 40 28

STPT(10)	2726557370315919989	0 2 30 32 60 62 90 92 120 122	-785921304678
STPT(10)	2726557562546415287	0 2 30 32 42 44 54 56 84 86	-593690809380
STPT(10)	2726557604431343201	0 2 36 38 78 80 120 122 156 158	-551805881466
STPT(10)	2726557780467786449	0 2 30 32 60 62 90 92 120 122	-375769438218
SPT(16)	2726557990123971583	0 16 24 48 108 126 136 150 244 258 268 286 346 370 378 394	-166113253084
SPT(16)	2726557993176505357	0 132 136 150 160 172 174 216 280 322 324 336 346 360 364 496	-163060719310
STPT(12)	2726558590950922529	0 2 72 74 102 104 138 140 168 170 240 242	434713697862
SPT(16)	2726558788140041689	0 28 48 64 70 84 118 174 184 240 274 288 294 310 330 358	631902817022
STPT(10)	2726559057166823909	0 2 30 32 60 62 90 92 120 122	900929599242
SPT(16)	2726559188807668189	0 148 150 210 222 240 282 292 348 358 400 418 430 490 492 640	1032570443522
SPT(16)	2726559250560010387	0 12 30 36 70 90 130 142 144 156 196 216 250 256 274 286	1094322785720