Prime p₀= 2726123734529016929 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 70 2 106 2 100 2 160 2 28 2 (?)
a_n: 0 2 48 50 120 122 228 230 330 332 492 494 522 524
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: 524
Found by: [SG-FC] hl
db: batch=82, k=14, 46 70 106 100 160 28

STPT(10)	2726122575974668667	0 2 24 26 42 44 60 62 84 86	-1158554348262
STPT(10)	2726122868459741627	0 2 30 32 60 62 90 92 120 122	-866069275302
STPT(10)	2726123190443582129	0 2 12 14 90 92 168 170 180 182	-544085434800
SPT(16)	2726123314789139113	0 18 46 58 66 114 118 148 156 186 190 238 246 258 286 304	-419739877816
STPT(10)	2726123573079343769	0 2 48 50 90 92 132 134 180 182	-161449673160
SPT(16)	2726123716677986423	0 8 14 38 56 86 128 134 270 276 318 348 366 390 396 404	-17851030506
SPT(13)	2726123943324864443	0 36 84 174 210 240 270 300 330 366 456 504 540	208795847514
SPT(16)	2726124152780805811	0 58 60 90 102 150 172 192 286 306 328 376 388 418 420 478	418251788882
SPT(16)	2726124162154049357	0 12 24 32 152 164 194 320 336 462 492 504 624 632 644 656	427625032428
STPT(10)	2726124852767123537	0 2 30 32 72 74 114 116 144 146	1118238106608
SPT(16)	2726125097524826563	0 40 48 66 108 118 124 130 174 180 186 196 238 256 264 304	1362995809634