Prime p₀= 2334761886838413299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 88 2 22 2 4 2 82 2 (?)
a_n: 0 2 12 14 78 80 168 170 192 194 198 200 282 284
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: 284
Found by: Landjunge
db: batch=81, k=14, 10 64 88 22 4 82

TPT(14)	2334760381593956999	0 2 132 134 138 140 198 200 210 212 222 224 282 284	-1505244456300
STPT(10)	2334760381593957137	0 2 60 62 72 74 84 86 144 146	-1505244456162
SPT(16)	2334761199846519551	0 8 18 38 42 90 92 98 150 156 158 206 210 230 240 248	-686991893748
STPT(10)	2334761455173621569	0 2 18 20 30 32 42 44 60 62	-431664791730
SPT(16)	2334761497221677323	0 16 46 60 76 178 198 228 328 358 378 480 496 510 540 556	-389616735976
SPT(16)	2334761761983864329	0 8 42 84 120 128 132 140 252 260 264 272 308 350 384 392	-124854548970
SPT(16)	2334762172586544577	0 6 16 34 52 66 90 100 126 136 160 174 192 210 220 226	285748131278
TPT(14)	2334763647641639477	0 2 42 44 72 74 90 92 132 134 180 182 222 224	1760803226178
SPT(16)	2334763702583193859	0 64 108 120 132 160 168 178 204 214 222 250 262 274 318 382	1815744780560
SPT(16)	2334763978604783389	0 10 58 60 72 102 112 130 222 240 250 280 292 294 342 352	2091766370090
SPT(16)	2334764290935476693	0 24 30 66 96 150 200 210 254 264 314 368 398 434 440 464	2404097063394