Prime p₀= 1069530963093786251 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 76 2 46 2 40 2 10 2 (?)
a_n: 0 2 78 80 120 122 198 200 246 248 288 290 300 302
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: Theadalus
db: batch=76, k=14, 76 40 76 46 40 10

STPT(10)	1069529599696265567	0 2 30 32 72 74 114 116 144 146	-1363397520684
SPT(16)	1069529736187569043	0 18 24 76 90 100 126 150 154 178 204 214 228 280 286 304	-1226906217208
SPT(16)	1069529740679537611	0 12 28 66 148 166 246 250 258 262 342 360 442 480 496 508	-1222414248640
SPT(16)	1069530312724252333	0 10 28 34 58 64 126 136 138 148 210 216 240 246 264 274	-650369533918
SPT(16)	1069530318030263741	0 56 60 66 68 80 110 126 152 168 198 210 212 218 222 278	-645063522510
STPT(10)	1069530404261357279	0 2 42 44 90 92 138 140 180 182	-558832428972
STPT(10)	1069531487740262087	0 2 30 32 72 74 114 116 144 146	524646475836
STPT(10)	1069531501602564989	0 2 18 20 30 32 42 44 60 62	538508778738
SPT(16)	1069531549239172627	0 6 12 24 66 84 124 144 202 222 262 280 322 334 340 346	586145386376
SPT(16)	1069531731919239007	0 6 30 40 100 124 160 174 286 300 336 360 420 430 454 460	768825452756
SPT(16)	1069532097810420323	0 56 60 66 98 114 140 170 204 234 260 276 308 314 318 374	1134716634072