Prime p₀= 2161804051299549047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 64 2 112 2 28 2 16 2 (?)
a_n: 0 2 30 32 84 86 150 152 264 266 294 296 312 314
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: 314
Found by: Landjunge
db: batch=81, k=14, 28 52 64 112 28 16

SPT(16)	2161802765624460239	0 42 78 80 98 108 134 138 224 228 254 264 282 284 320 362	-1285675088808
SPT(16)	2161803231481945339	0 18 22 28 52 54 94 318 334 558 598 600 624 630 634 652	-819817603708
SPT(16)	2161803453014222023	0 40 70 88 94 108 118 136 168 186 196 210 216 234 264 304	-598285327024
STPT(10)	2161803778344206201	0 2 6 8 18 20 30 32 36 38	-272955342846
SPT(16)	2161803806287069097	0 2 6 30 44 62 104 132 164 192 234 252 266 290 294 296	-245012479950
STPT(10)	2161804017917340239	0 2 42 44 60 62 78 80 120 122	-33382208808
STPT(10)	2161804314337750307	0 2 30 32 42 44 54 56 84 86	263038201260
SPT(16)	2161804798217229533	0 18 44 56 78 98 146 254 300 408 456 476 498 510 536 554	746917680486
STPT(10)	2161804828249151609	0 2 18 20 30 32 42 44 60 62	776949602562
STPT(10)	2161804875000752879	0 2 18 20 60 62 102 104 120 122	823701203832
STPT(10)	2161805420233677857	0 2 60 62 72 74 84 86 144 146	1368934128810