Prime p₀= 2858220558741995297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 70 2 40 2 166 2 40 2 (?)
a_n: 0 2 12 14 30 32 102 104 144 146 312 314 354 356
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: 356
Found by: Landjunge
db: batch=82, k=14, 10 16 70 40 166 40

SPT(16)	2858219292981864041	0 20 32 138 168 182 252 266 312 326 396 410 440 546 558 578	-1265760131256
TPT(14)	2858219384657883479	0 2 60 62 162 164 210 212 258 260 270 272 312 314	-1174084111818
TPT(14)	2858219836336055927	0 2 24 26 84 86 114 116 234 236 372 374 390 392	-722405939370
STPT(10)	2858220148864593839	0 2 18 20 30 32 42 44 60 62	-409877401458
SPT(16)	2858220364392225619	0 10 28 34 54 90 108 114 118 124 142 178 198 204 222 232	-194349769678
TPT(14)	2858220368356489067	0 2 42 44 72 74 192 194 324 326 492 494 504 506	-190385506230
STPT(10)	2858221118430461237	0 2 24 26 42 44 60 62 84 86	559688465940
STPT(10)	2858221313030266607	0 2 54 56 72 74 90 92 144 146	754288271310
SPT(16)	2858222230392040469	0 48 72 90 114 122 128 132 140 144 150 158 182 200 224 272	1671650045172
SPT(16)	2858222902140368717	0 12 36 44 66 122 146 174 212 240 264 320 342 350 374 386	2343398373420
SPT(16)	2858222910824189719	0 4 12 40 52 54 90 130 132 172 208 210 222 250 258 262	2352082194422