Prime p₀= 2160007841537585987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 46 2 10 2 16 2 22 2 16 2 (?)
a_n: 0 2 132 134 180 182 192 194 210 212 234 236 252 254
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: 254
Found by: Landjunge
db: batch=81, k=14, 130 46 10 16 22 16

TPT(16)	2160007277605691387	0 2 12 14 24 26 84 86 144 146 252 254 390 392 480 482	-563931894600
SPT(16)	2160007378259446237	0 4 30 34 64 114 124 142 144 162 172 222 252 256 282 286	-463278139750
STPT(10)	2160007430672139857	0 2 30 32 42 44 54 56 84 86	-410865446130
SPT(16)	2160007673543949239	0 24 50 84 92 152 212 222 290 300 360 420 428 462 488 512	-167993636748
STPT(10)	2160007771143952781	0 2 6 8 18 20 30 32 36 38	-70393633206
STPT(10)	2160007806646390397	0 2 12 14 72 74 132 134 144 146	-34891195590
SPT(16)	2160008177487157133	0 26 54 80 86 138 156 164 180 188 206 258 264 290 318 344	335949571146
SPT(16)	2160008361548257963	0 10 46 88 108 150 178 186 220 228 256 298 318 360 396 406	520010671976
STPT(10)	2160008470696378397	0 2 30 32 42 44 54 56 84 86	629158792410
SPT(16)	2160008690347699349	0 72 74 78 152 158 170 210 272 312 324 330 404 408 410 482	848810113362
STPT(10)	2160009078687104969	0 2 18 20 30 32 42 44 60 62	1237149518982