Prime p₀= 2880469753898644751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 124 2 28 2 28 2 22 2 16 2 (?)
a_n: 0 2 30 32 156 158 186 188 216 218 240 242 258 260
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: 260
Found by: Landjunge
db: batch=82, k=14, 28 124 28 28 22 16

STPT(10)	2880467552760914321	0 2 6 8 18 20 30 32 36 38	-2201137730430
STPT(10)	2880468771865382609	0 2 18 20 30 32 42 44 60 62	-982033262142
SPT(16)	2880468863360147951	0 26 42 50 56 62 68 108 110 150 156 162 168 176 192 218	-890538496800
STPT(10)	2880469245308309069	0 2 18 20 30 32 42 44 60 62	-508590335682
STPT(10)	2880469248191700467	0 2 30 32 42 44 54 56 84 86	-505706944284
SPT(16)	2880469535893478629	0 34 64 72 88 100 112 118 144 150 162 174 190 198 228 262	-218005166122
SPT(16)	2880469768616602061	0 20 42 50 78 92 110 152 198 240 258 272 300 308 330 350	14717957310
STPT(10)	2880470320162668041	0 2 6 8 48 50 90 92 96 98	566264023290
TPT(14)	2880470349212198987	0 2 102 104 114 116 210 212 360 362 390 392 444 446	595313554236
STPT(10)	2880470433011346179	0 2 42 44 90 92 138 140 180 182	679112701428
SPT(16)	2880470580393567277	0 6 34 42 54 90 130 160 216 246 286 322 334 342 370 376	826494922526