Prime p₀= 2250723370316729921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 76 2 40 2 16 2 70 2 40 2 (?)
a_n: 0 2 18 20 96 98 138 140 156 158 228 230 270 272
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: 272
Found by: JayPi
db: batch=81, k=14, 16 76 40 16 70 40

SPT(16)	2250722755280085113	0 14 30 140 146 150 170 174 230 234 254 258 264 374 390 404	-615036644808
SPT(16)	2250722820865377821	0 36 50 72 92 96 110 152 240 282 296 300 320 342 356 392	-549451352100
STPT(12)	2250722871973119371	0 2 36 38 48 50 78 80 90 92 126 128	-498343610550
SPT(16)	2250722993214807907	0 6 12 42 46 120 124 130 336 342 346 420 424 454 460 466	-377101922014
STPT(10)	2250722995320178187	0 2 54 56 72 74 90 92 144 146	-374996551734
STPT(10)	2250723225753664301	0 2 6 8 48 50 90 92 96 98	-144563065620
TPT(14)	2250723593689305869	0 2 168 170 210 212 252 254 318 320 330 332 450 452	223372575948
STPT(10)	2250723666493408619	0 2 42 44 60 62 78 80 120 122	296176678698
SPT(13)	2250723919452609551	0 18 60 90 108 132 150 168 192 210 240 282 300	549135879630
SPT(16)	2250723951311426819	0 20 30 68 90 132 174 180 302 308 350 392 414 452 462 482	580994696898
STPT(10)	2250724539883067819	0 2 18 20 30 32 42 44 60 62	1169566337898