Prime p₀= 909017587488389651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 22 2 28 2 4 2 52 2 76 2 (?)
a_n: 0 2 126 128 150 152 180 182 186 188 240 242 318 320
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: 320
Found by: Theadalus
db: batch=76, k=14, 124 22 28 4 52 76

SPT(16)	909016555400879797	0 4 42 46 72 76 126 130 156 160 210 214 240 244 282 286	-1032087509854
STPT(10)	909016617685809119	0 2 12 14 90 92 168 170 180 182	-969802580532
SPT(16)	909016679925874271	0 8 30 48 90 108 152 170 258 276 320 338 380 398 420 428	-907562515380
STPT(10)	909016914612403307	0 2 60 62 72 74 84 86 144 146	-672875986344
SPT(16)	909017435223412111	0 18 22 42 46 48 72 78 100 106 130 132 136 156 160 178	-152264977540
SPT(16)	909017441161784147	0 26 30 36 90 110 176 180 260 264 330 350 404 410 414 440	-146326605504
SPT(16)	909017605176190931	0 38 78 108 122 152 168 192 266 290 306 336 350 380 420 458	17687801280
STPT(10)	909018699568602809	0 2 18 20 30 32 42 44 60 62	1112080213158
SPT(16)	909018700681221661	0 18 40 58 90 150 208 222 256 270 328 388 420 438 460 478	1113192832010
SPT(16)	909018965338882763	0 24 26 30 36 50 66 68 96 98 114 128 134 138 140 164	1377850493112
TPT(14)	909019134285496601	0 2 90 92 96 98 180 182 276 278 300 302 336 338	1546797106950