Prime p₀= 2161210774815727751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 148 2 16 2 10 2 4 2 (?)
a_n: 0 2 6 8 30 32 180 182 198 200 210 212 216 218
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: 218
Found by: Landjunge
db: batch=81, k=14, 4 22 148 16 10 4

STPT(10)	2161207759724506247	0 2 30 32 42 44 54 56 84 86	-3015091221504
STPT(10)	2161208427371672249	0 2 18 20 30 32 42 44 60 62	-2347444055502
SPT(16)	2161208939761584023	0 38 50 68 78 84 126 150 164 188 230 236 246 264 276 314	-1835054143728
SPT(16)	2161209632469581261	0 8 18 36 42 80 96 116 162 182 198 236 242 260 270 278	-1142346146490
SPT(16)	2161209664140789037	0 10 34 54 136 154 184 196 240 252 282 300 382 402 426 436	-1110674938714
SPT(16)	2161210152218740747	0 10 34 70 82 124 144 150 196 202 222 264 276 312 336 346	-622596987004
STPT(10)	2161211102168321627	0 2 30 32 72 74 114 116 144 146	327352593876
STPT(10)	2161211132938322921	0 2 30 32 78 80 126 128 156 158	358122595170
TPT(14)	2161211145768683387	0 2 30 32 42 44 54 56 150 152 192 194 210 212	370952955636
STPT(10)	2161211513869323257	0 2 24 26 42 44 60 62 84 86	739053595506
TPT(14)	2161211779584589409	0 2 30 32 42 44 138 140 150 152 168 170 192 194	1004768861658