Prime p₀= 2110397019278137571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 100 2 4 2 28 2 40 2 130 2 (?)
a_n: 0 2 18 20 120 122 126 128 156 158 198 200 330 332
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: 332
Found by: Landjunge
db: batch=80, k=14, 16 100 4 28 40 130

TPT(14)	2110394984172801341	0 2 30 32 36 38 78 80 138 140 198 200 246 248	-2035105336230
STPT(10)	2110395159914814119	0 2 42 44 90 92 138 140 180 182	-1859363323452
STPT(10)	2110395991159013627	0 2 24 26 42 44 60 62 84 86	-1028119123944
SPT(16)	2110395999648991381	0 42 52 82 150 166 192 196 216 220 246 262 330 360 370 412	-1019629146190
STPT(10)	2110396471445979917	0 2 30 32 72 74 114 116 144 146	-547832157654
TPT(14)	2110396808715525191	0 2 36 38 138 140 180 182 198 200 330 332 366 368	-210562612380
STPT(10)	2110397038954811819	0 2 42 44 60 62 78 80 120 122	19676674248
STPT(10)	2110397602960838039	0 2 30 32 60 62 90 92 120 122	583682700468
SPT(16)	2110397843348962681	0 10 12 28 52 70 90 96 112 118 138 156 180 196 198 208	824070825110
STPT(10)	2110397911189211489	0 2 18 20 30 32 42 44 60 62	891911073918
SPT(16)	2110398121814833027	0 30 60 102 114 150 160 234 280 354 364 400 412 454 484 514	1102536695456