Prime p₀= 2566612329141633119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 28 2 64 2 88 2 22 2 (?)
a_n: 0 2 18 20 42 44 72 74 138 140 228 230 252 254
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: 254
Found by: RFGuy_KCCO
db: batch=82, k=14, 16 22 28 64 88 22

TPT(14)	2566610432441742821	0 2 30 32 78 80 156 158 168 170 276 278 318 320	-1896699890298
STPT(10)	2566610787329778347	0 2 54 56 72 74 90 92 144 146	-1541811854772
STPT(10)	2566611383215513889	0 2 12 14 90 92 168 170 180 182	-945926119230
SPT(16)	2566611449861109317	0 32 36 44 56 72 84 86 120 122 134 150 162 170 174 206	-879280523802
SPT(16)	2566611521673411077	0 6 26 54 66 150 194 236 414 456 500 584 596 624 644 650	-807468222042
SPT(16)	2566611729460088561	0 30 62 66 96 98 108 132 146 170 180 182 212 216 248 278	-599681544558
SPT(16)	2566612541538695869	0 58 94 142 150 204 220 228 244 252 268 322 330 378 414 472	212397062750
TPT(14)	2566612698035248337	0 2 60 62 102 104 210 212 222 224 234 236 252 254	368893615218
STPT(10)	2566613536136298191	0 2 6 8 48 50 90 92 96 98	1206994665072
STPT(10)	2566613775096905627	0 2 30 32 60 62 90 92 120 122	1445955272508
SPT(16)	2566614554369036167	0 6 34 36 52 54 94 124 162 192 232 234 250 252 280 286	2225227403048