Prime p₀= 765879596800168187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 64 2 52 2 46 2 28 2 (?)
a_n: 0 2 30 32 84 86 150 152 204 206 252 254 282 284
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: Daniel
db: batch=73, k=14, 28 52 64 52 46 28

TPT(14)	765878352294534467	0 2 42 44 60 62 84 86 102 104 162 164 174 176	-1244505633720
STPT(10)	765878599636606637	0 2 30 32 42 44 54 56 84 86	-997163561550
STPT(10)	765878725332169451	0 2 30 32 60 62 90 92 120 122	-871467998736
SPT(16)	765878981243380063	0 16 28 30 34 54 64 76 78 90 100 120 124 126 138 154	-615556788124
SPT(16)	765879053706974573	0 44 80 84 104 114 116 150 164 198 200 210 230 234 270 314	-543093193614
STPT(10)	765879142092762239	0 2 12 14 90 92 168 170 180 182	-454707405948
SPT(16)	765879603222196901	0 8 86 98 120 168 236 242 306 312 380 428 450 462 540 548	6422028714
SPT(16)	765879846735802681	0 42 78 148 156 172 180 198 220 238 246 262 270 340 376 418	249935634494
STPT(10)	765879855892593107	0 2 12 14 42 44 72 74 84 86	259092424920
SPT(16)	765879873652427063	0 26 50 54 66 80 138 158 186 206 264 278 290 294 318 344	276852258876
STPT(10)	765880117828990559	0 2 48 50 90 92 132 134 180 182	521028822372