Prime p₀= 1623443920193531999 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 40 2 34 2 10 2 10 2 (?)
a_n: 0 2 78 80 90 92 132 134 168 170 180 182 192 194
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: 194
Found by: biodoc
db: batch=78, k=14, 76 10 40 34 10 10

SPT(16)	1623441646155814697	0 42 44 66 102 122 132 156 200 224 234 254 290 312 314 356	-2274037717302
STPT(10)	1623443087194195019	0 2 18 20 30 32 42 44 60 62	-832999336980
TPT(14)	1623443351036622749	0 2 18 20 30 32 60 62 102 104 138 140 252 254	-569156909250
SPT(16)	1623443486061046813	0 18 34 70 94 100 106 108 196 198 204 210 234 270 286 304	-434132485186
TPT(14)	1623443542695845051	0 2 18 20 96 98 150 152 186 188 210 212 240 242	-377497686948
STPT(10)	1623443755607588531	0 2 36 38 138 140 240 242 276 278	-164585943468
SPT(16)	1623444178925100761	0 6 42 98 110 152 158 168 290 300 306 348 360 416 452 458	258731568762
SPT(16)	1623444204118407049	0 12 18 30 40 58 82 108 172 198 222 240 250 262 268 280	283924875050
SPT(16)	1623444214506914497	0 24 36 60 64 84 112 126 130 144 172 192 196 220 232 256	294313382498
STPT(10)	1623444279346421837	0 2 30 32 42 44 54 56 84 86	359152889838
SPT(16)	1623444484390041763	0 10 16 30 36 94 114 154 156 196 216 274 280 294 300 310	564196509764