Prime p₀= 1268590279070290931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 10 2 40 2 34 2 22 2 (?)
a_n: 0 2 66 68 96 98 108 110 150 152 186 188 210 212
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: 212
Found by: Skivelitis2
db: batch=77, k=14, 64 28 10 40 34 22

STPT(10)	1268587765247729117	0 2 42 44 72 74 102 104 144 146	-2513822561814
SPT(16)	1268588556420224717	0 20 32 60 72 90 122 126 146 150 182 200 212 240 252 272	-1722650066214
TPT(14)	1268588755189235717	0 2 42 44 180 182 210 212 222 224 252 254 360 362	-1523881055214
STPT(10)	1268588848646422727	0 2 54 56 72 74 90 92 144 146	-1430423868204
STPT(10)	1268589854151458087	0 2 30 32 42 44 54 56 84 86	-424918832844
STPT(10)	1268590243511328629	0 2 48 50 90 92 132 134 180 182	-35558962302
STPT(10)	1268590546476549311	0 2 36 38 78 80 120 122 156 158	267406258380
SPT(16)	1268590847859206507	0 6 32 54 192 236 252 284 342 374 390 434 572 594 620 626	568788915576
SPT(16)	1268591016123722519	0 42 62 90 98 114 120 132 140 152 158 174 182 210 230 272	737053431588
SPT(16)	1268591080307255279	0 12 18 54 68 92 102 150 152 200 210 234 248 284 290 302	801236964348
STPT(10)	1268591097204371909	0 2 12 14 90 92 168 170 180 182	818134080978