Prime p₀= 2599772456552766827 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 34 2 118 2 22 2 64 2 (?)
a_n: 0 2 12 14 54 56 90 92 210 212 234 236 300 302
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: 302
Found by: conf [MM]
db: batch=82, k=14, 10 40 34 118 22 64

SPT(13)	2599771386151130969	0 30 42 78 108 120 180 240 252 282 318 330 360	-1070401635858
TPT(14)	2599771433850133271	0 2 78 80 108 110 156 158 180 182 378 380 408 410	-1022702633556
SPT(16)	2599771702021420313	0 24 30 48 84 90 150 168 170 188 248 254 290 308 314 338	-754531346514
SPT(16)	2599772128264469551	0 22 46 60 66 72 100 142 156 198 226 232 238 252 276 298	-328288297276
SPT(16)	2599772201927832721	0 6 28 40 126 130 136 192 196 252 258 262 348 360 382 388	-254624934106
STPT(10)	2599772419571048957	0 2 42 44 72 74 102 104 144 146	-36981717870
STPT(10)	2599772847963701747	0 2 30 32 42 44 54 56 84 86	391410934920
STPT(10)	2599772860717691291	0 2 6 8 48 50 90 92 96 98	404164924464
STPT(10)	2599773181468738739	0 2 48 50 60 62 72 74 120 122	724915971912
SPT(16)	2599773195925074563	0 56 80 116 120 158 168 186 188 206 216 254 258 294 318 374	739372307736
SPT(16)	2599773301236281113	0 4 58 84 88 94 124 150 214 240 270 276 280 306 360 364	844683514286