Prime p₀= 968887153407119381 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 100 2 34 2 28 2 58 2 (?)
a_n: 0 2 66 68 108 110 210 212 246 248 276 278 336 338
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: 338
Found by: Theadalus
db: batch=76, k=14, 64 40 100 34 28 58

TPT(14)	968885465194918889	0 2 90 92 228 230 252 254 270 272 300 302 330 332	-1688212200492
SPT(16)	968885494523150177	0 2 32 54 84 110 120 140 156 176 186 212 242 264 294 296	-1658883969204
STPT(12)	968886224164011269	0 2 18 20 30 32 198 200 210 212 228 230	-929243108112
SPT(16)	968886234941592511	0 42 46 48 60 70 102 108 130 136 168 178 190 192 196 238	-918465526870
SPT(16)	968886459603175417	0 6 40 42 64 72 82 154 162 234 244 252 274 276 310 316	-693803943964
SPT(16)	968886955237667201	0 30 72 102 116 126 140 150 212 222 236 246 260 290 332 362	-198169452180
STPT(10)	968887176379725917	0 2 30 32 72 74 114 116 144 146	22972606536
SPT(16)	968887452642440603	0 20 30 60 96 104 140 224 270 354 390 398 434 464 474 494	299235321222
SPT(16)	968887734594408311	0 2 18 30 60 102 140 152 258 270 308 350 380 392 408 410	581187288930
STPT(10)	968887826926572149	0 2 42 44 60 62 78 80 120 122	673519452768
SPT(16)	968888187271894621	0 30 40 42 78 90 106 132 196 222 238 250 286 288 298 328	1033864775240