Prime p₀= 2080410326290735337 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 28 2 34 2 28 2 70 2 (?)
a_n: 0 2 42 44 54 56 84 86 120 122 150 152 222 224
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: 224
Found by: Landjunge
db: batch=80, k=14, 40 10 28 34 28 70

SPT(16)	2080409604810749843	0 8 30 60 66 96 108 198 248 338 350 380 386 416 438 446	-721479985494
STPT(10)	2080409763283041917	0 2 24 26 42 44 60 62 84 86	-563007693420
STPT(10)	2080409779621752107	0 2 42 44 72 74 102 104 144 146	-546668983230
SPT(16)	2080409831174610367	0 34 42 66 82 84 112 126 130 144 172 174 190 214 222 256	-495116124970
STPT(10)	2080409887800530057	0 2 30 32 72 74 114 116 144 146	-438490205280
STPT(10)	2080410194182900757	0 2 60 62 72 74 84 86 144 146	-132107834580
SPT(16)	2080410830429949961	0 52 58 88 100 102 108 126 142 160 166 168 180 210 216 268	504139214624
SPT(16)	2080410998485129589	0 2 48 54 110 140 170 180 182 192 222 252 308 314 360 362	672194394252
SPT(16)	2080411241367202973	0 20 26 38 48 56 98 138 146 186 228 236 246 258 264 284	915076467636
STPT(10)	2080411356766545767	0 2 30 32 42 44 54 56 84 86	1030475810430
STPT(10)	2080411424708480597	0 2 30 32 42 44 54 56 84 86	1098417745260