Prime p₀= 2163976652370327869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 118 2 70 2 4 2 22 2 (?)
a_n: 0 2 42 44 60 62 180 182 252 254 258 260 282 284
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: 284
Found by: Landjunge
db: batch=81, k=14, 40 16 118 70 4 22

SPT(16)	2163973516729790707	0 12 30 64 76 102 112 130 156 174 184 210 222 256 274 286	-3135640537162
SPT(16)	2163975807343242617	0 6 20 72 132 170 194 212 264 282 306 344 404 456 470 476	-845027085252
SPT(16)	2163975848631632939	0 8 50 68 80 98 140 180 182 222 264 282 294 312 354 362	-803738694930
STPT(10)	2163975927997516469	0 2 12 14 90 92 168 170 180 182	-724372811400
STPT(10)	2163976260053129747	0 2 30 32 42 44 54 56 84 86	-392317198122
SPT(16)	2163976361702656469	0 20 30 48 78 90 92 134 168 210 212 224 254 272 282 302	-290667671400
SPT(16)	2163976762840264991	0 2 38 80 86 90 92 98 120 126 128 132 138 180 216 218	110469937122
STPT(10)	2163976902088070021	0 2 66 68 138 140 210 212 276 278	249717742152
SPT(16)	2163977167464325229	0 38 48 92 102 120 122 132 158 168 170 188 198 242 252 290	515093997360
SPT(16)	2163977230483243883	0 14 56 66 86 110 134 140 234 240 264 288 308 318 360 374	578112916014
STPT(10)	2163977331138104927	0 2 30 32 42 44 54 56 84 86	678767777058