Prime p₀= 2907034661916062477 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 22 2 4 2 172 2 16 2 (?)
a_n: 0 2 42 44 90 92 114 116 120 122 294 296 312 314
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: 314
Found by: Landjunge
db: batch=82, k=14, 40 46 22 4 172 16

STPT(10)	2907032696693011889	0 2 30 32 60 62 90 92 120 122	-1965223050588
TPT(14)	2907032907088425917	0 2 72 74 102 104 114 116 174 176 282 284 300 302	-1754827636560
TPT(14)	2907033052635322547	0 2 24 26 30 32 54 56 60 62 102 104 144 146	-1609280739930
STPT(10)	2907033384038539529	0 2 42 44 90 92 138 140 180 182	-1277877522948
STPT(10)	2907034066728534497	0 2 60 62 72 74 84 86 144 146	-595187527980
SPT(16)	2907034590897333191	0 32 36 86 98 102 116 128 150 162 176 180 192 242 246 278	-71018729286
SPT(16)	2907035238102186757	0 34 46 54 96 156 166 250 300 384 394 454 496 504 516 550	576186124280
SPT(16)	2907035599979705977	0 46 66 70 76 82 84 94 132 142 144 150 156 160 180 226	938063643500
STPT(10)	2907036093175477577	0 2 12 14 42 44 72 74 84 86	1431259415100
SPT(16)	2907036507950328301	0 30 78 202 228 238 280 282 328 330 372 382 408 532 580 610	1846034265824
SPT(16)	2907037133779703831	0 8 18 26 36 48 60 78 110 128 140 152 162 170 180 188	2471863641354