Prime p₀= 2599771433850133271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 46 2 22 2 196 2 28 2 (?)
a_n: 0 2 78 80 108 110 156 158 180 182 378 380 408 410
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: 410
Found by: RFGuy_KCCO
db: batch=82, k=14, 76 28 46 22 196 28

STPT(10)	2599770342021981587	0 2 30 32 42 44 54 56 84 86	-1091828151684
SPT(16)	2599770498439674379	0 10 22 24 28 42 52 88 144 180 190 204 208 210 222 232	-935410458892
SPT(16)	2599770830715437647	0 4 10 16 22 36 42 60 76 94 100 114 120 126 132 136	-603134695624
SPT(16)	2599770887937880997	0 2 6 54 72 92 120 126 140 146 174 194 212 260 264 266	-545912252274
TPT(14)	2599770966133583861	0 2 36 38 48 50 66 68 90 92 108 110 126 128	-467716549410
SPT(13)	2599771386151130969	0 30 42 78 108 120 180 240 252 282 318 330 360	-47699002302
SPT(16)	2599771702021420313	0 24 30 48 84 90 150 168 170 188 248 254 290 308 314 338	268171287042
SPT(16)	2599772128264469551	0 22 46 60 66 72 100 142 156 198 226 232 238 252 276 298	694414336280
SPT(16)	2599772201927832721	0 6 28 40 126 130 136 192 196 252 258 262 348 360 382 388	768077699450
STPT(10)	2599772419571048957	0 2 42 44 72 74 102 104 144 146	985720915686
TPT(14)	2599772456552766827	0 2 12 14 54 56 90 92 210 212 234 236 300 302	1022702633556