Prime p₀= 2309038292261957489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 70 2 40 2 64 2 22 2 16 2 (?)
a_n: 0 2 48 50 120 122 162 164 228 230 252 254 270 272
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: Landjunge
db: batch=81, k=14, 46 70 40 64 22 16

SPT(16)	2309037639363421249	0 64 72 90 100 108 138 178 264 304 334 342 352 370 378 442	-652898536240
SPT(16)	2309037832775358271	0 28 46 48 58 66 70 100 168 198 202 210 220 222 240 268	-459486599218
SPT(16)	2309037905335106333	0 38 44 66 110 120 164 168 176 180 224 234 278 300 306 344	-386926851156
STPT(10)	2309037932626153577	0 2 30 32 60 62 90 92 120 122	-359635803912
SPT(16)	2309037964582059367	0 12 24 34 40 52 70 90 94 114 132 144 150 160 172 184	-327679898122
STPT(10)	2309038081144408487	0 2 30 32 42 44 54 56 84 86	-211117549002
SPT(16)	2309038442838116299	0 4 10 24 52 60 94 100 312 318 352 360 388 402 408 412	150576158810
TPT(14)	2309039125332908249	0 2 30 32 72 74 210 212 318 320 360 362 372 374	833070950760
STPT(10)	2309039599018976111	0 2 36 38 78 80 120 122 156 158	1306757018622
STPT(10)	2309039990287508459	0 2 42 44 60 62 78 80 120 122	1698025550970
STPT(10)	2309040153640279061	0 2 36 38 78 80 120 122 156 158	1861378321572