Prime p₀= 952297942466189831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 76 2 22 2 64 2 28 2 10 2 (?)
a_n: 0 2 78 80 156 158 180 182 246 248 276 278 288 290
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: 290
Found by: HenkM
db: batch=76, k=14, 76 76 22 64 28 10

SPT(16)	952296497392665437	0 12 20 24 50 132 134 152 162 180 182 264 290 294 302 314	-1445073524394
SPT(16)	952296943201627993	0 28 76 84 106 118 166 198 256 288 336 348 370 378 426 454	-999264561838
STPT(10)	952297696054158869	0 2 48 50 60 62 72 74 120 122	-246412030962
SPT(16)	952297743942558259	0 52 72 82 88 100 102 138 154 190 192 204 210 220 240 292	-198523631572
SPT(16)	952297770912570253	0 34 58 66 84 90 106 198 286 378 394 400 418 426 450 484	-171553619578
STPT(10)	952297912013685827	0 2 42 44 72 74 102 104 144 146	-30452504004
STPT(10)	952298048412641639	0 2 18 20 60 62 102 104 120 122	105946451808
STPT(10)	952298057647294607	0 2 12 14 42 44 72 74 84 86	115181104776
SPT(16)	952298068742834531	0 6 56 126 158 168 170 176 180 186 188 198 230 300 350 356	126276644700
STPT(10)	952298106306598991	0 2 30 32 60 62 90 92 120 122	163840409160
STPT(10)	952298165330531387	0 2 30 32 42 44 54 56 84 86	222864341556