Prime p₀= 2163467199821284829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 16 2 52 2 16 2 208 2 160 2 (?)
a_n: 0 2 90 92 108 110 162 164 180 182 390 392 552 554
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: 554
Found by: Landjunge
db: batch=81, k=14, 88 16 52 16 208 160

SPT(16)	2163466465248680357	0 20 30 36 56 84 132 134 162 164 212 240 260 266 276 296	-734572604472
STPT(10)	2163466528592257697	0 2 30 32 42 44 54 56 84 86	-671229027132
SPT(16)	2163466591555606387	0 46 52 72 114 156 220 232 234 246 310 352 394 414 420 466	-608265678442
SPT(16)	2163466591931894297	0 12 20 42 44 54 96 104 192 200 242 252 254 276 284 296	-607889390532
STPT(10)	2163466623074462897	0 2 42 44 72 74 102 104 144 146	-576746821932
SPT(16)	2163466980868154173	0 4 16 46 84 94 144 148 156 160 210 220 258 288 300 304	-218953130656
STPT(10)	2163467222115210899	0 2 18 20 30 32 42 44 60 62	22293926070
SPT(16)	2163468075038075149	0 4 42 54 82 100 130 142 210 222 252 270 298 310 348 352	875216790320
SPT(16)	2163468233434977751	0 16 52 102 130 142 216 220 318 322 396 408 436 486 522 538	1033613692922
STPT(10)	2163468330905286701	0 2 6 8 18 20 30 32 36 38	1131084001872
SPT(16)	2163468440357824361	0 2 26 42 60 80 110 116 276 282 312 332 350 366 390 392	1240536539532